Interpolation of linear operators (Q1117434)

scientific article; zbMATH DE number 4092148

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English	Interpolation of linear operators	scientific article; zbMATH DE number 4092148

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instance of

scholarly article

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title

Interpolation of linear operators (English)

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published in

Journal of Soviet Mathematics

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publication date

1988

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zbMATH Keywords

interpolation of linear operators

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real and complex methods

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The relation of a group algebra to a tail $\sigma$-algebra of a random walk on a group

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ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS

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On extreme mixed norms

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A GENERALIZED TRACE METHOD IN THE INTERPOLATION THEORY OF BANACH SPACES

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Q3954351

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Complex interpolation for family of Banach spaces

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Q5587978

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Q3950934

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Interpolation of $L_p$-spaces with a weight

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Q3319269

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Properties of interpolation spaces of completely continuous operators

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Q3700278

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Q4122393

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RESONANCE THEOREMS and SUPERLINEAR OPERATORS

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Operational Bezoutiant in the theory of separation of roots of entire functions

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Interpolation operators of the class $S_ p$ into Hilbert pairs

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On the Calderon operator

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Spectrum of a linear operator in a family of Banach spaces containing Hilbert space

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Q3308591

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Q4051120

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All reductive $\mathfrak p$-adic groups are tame

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Q3955934

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Q3708474

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Real Interpolation of Sobolev Spaces on Subdomains of Rn

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Interpolation theory and refinement of nested Hilbert spaces

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The K-functional of certain pairs of rearrangement invariant spaces

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A new characterization of the interpolation spaces between $L^p$ and $L^q$

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Q5593310

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Interpolation spaces and interpolation methods

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Q5655903

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Sur un théorème d'interpolation

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Un teorema di interpolazione; applicazioni ai problemi ai limiti per l er le equazioni differenziali a derivate parziali

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Quelques propriétés topologiques des espaces d'interpolation dans le cadre général. (Some topological properties of interpolation spaces in the general case.)

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Q5683185

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Estimates for weak-type operators

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Intermediate spaces and the class L $log^+ L$

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Banach function spaces and interpolation methods. I: The abstract theory

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Q4059439

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Banach function spaces and interpolation methods. III: HAUSDORFF'Young estimates

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Q4126882

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Weak-$L^\infty$ and BMO

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Q4150704

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Q3857021

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Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen

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Approximation theorems for semi-group operators in intermediate spaces

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Über die Stetigkeit von Halbgruppen von Operatoren in intermediären Räumen

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Q5561410

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Some remarks on the Marcinkiewicz convexity theorem in the upper triangle

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Q5526457

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Q4176492

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Q3334465

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On the connection between the real and the complex interpolation method for several Banach spaces

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Q3889601

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Multivariate Rearrangements and Banach Function Spaces with Mixed Norms

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On a Theorem of M. Riesz for Fourier Series

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Spaces Between a Pair of Reflexive Lebesgue Spaces

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The Hilbert Transform on Rearrangement-Invariant Spaces

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Indices of Function Spaces and their Relationship to Interpolation

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Indices for the Orlicz spaces

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Interpolation in subspaces of C(X)

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Remarks on nonlinear interpolation in Banach spaces

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Lp Spaces from Matrix Measures: A Correction and their Interpolation

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Q5549343

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Parabolic maximal functions associated with a distribution

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On the existence of certain singular integrals

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On Singular Integrals

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A Note on the Interpolation of Sublinear Operations

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Q3319268

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Ricerche par una teoria générale dell'interpolarzione tra spazi lineari topologici

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On the Type of Interpolation Spaces andSp,q

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Q3862617

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A theory of complex interpolation for families of Banach spaces

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Q3667385

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A Failure of Stability Under Complex Interpolation

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Monotonicity properties of interpolation spaces

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Q4196912

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Monotonicity properties of interpolation spaces. II

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K-divisibility of the K-functional and Calderón couples

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Complex interpolation spaces on multiply-connected domains

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Interpolation of analytic families of operators

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Q3341419

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Interpolation of Uniformly Convex Banach Spaces

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On interpolation of L//p[a,b] and weighted Sobolev spaces

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Interpolation of operators of weak type

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The interpolation of quadratic norms

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Q3327183

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Complex interpolation for $2^ N$ Banach spaces

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Q5647462

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Sulla interpolazione multilineare: una precisazione

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Q5658695

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Q5179941

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Sulla interpolazione di certi spazi di Sobolev con peso

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Q4157153

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Interpolation Between H p Spaces: The Real Method

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$H^p$ spaces of several variables

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Interpolation und Indexbedingungen auf rearrangement-invarianten Funktionenräumen II. Die $J$-Methode und ihr Zusammenhang mit der $K$- Methode

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A note on Weak-Type Interpolation and Function Spaces

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The Marcinkievicz interpolation theorem for rearrangementinvariant function spaces and applications

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Q3665719

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Interpolation of $2^ d$ Banach spaces and multiparametric approximation

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Q5586762

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Teoremi di interpolazione per trasformazioni tra spazi di funzioni con derivate hölderiane

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Reelle Interpolation zwischenlp-Räumen mit Gewichten

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Real Interpolation of WeightedLp-Spaces

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Q4136032

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Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in $n$ variabili

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Ulteriori proprieta di alcune classi di funzioni in piu variabili

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Q3259245

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Una struttura unitaria in diverse famiglie di spazi funzionali. I

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A common structure in various families of functional spaces. Quasilinear interpolation spaces. II

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Espaces fonctionnels de Banach - Méthode discrete l'interpolation

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Q3889599

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Q3857322

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Interpolation between weighted L$^p$-spaces

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Q5593349

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Q5535812

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Q4043598

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Interpolation of modular spaces. I

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Interpolation Spaces and Unitary Representations

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Prolongements de foncteurs d'interpolation et applications

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Interpolation entre des espaces localement convexes definis à l'aide de semigroupes, cas des espaces de Gevrey

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Q5726912

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Q5330898

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Q5726915

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Identités entre espaces de traces

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Q5608330

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Commutativite de deux foncteurs d'interpolation et applications

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Équations différentielles abstraites

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Q3312720

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A function parameter in connection with interpolation of Banach spaces.

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The Spectra of Bounded Linear Operators on the Sequence Spaces

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Semigroups of matrices defining linked operators with different spectra

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On the spectra of linked operators

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Q4134421

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Interpolation by the real method preserves compactness of operators

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Q4141674

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The Marcinkiewicz interpolation theorem extends to weighted spaces

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Interpolation in Orlicz spaces involving weights

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Interpolation zwischen Unterräumen eines Hilbertraumes

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Q5566726

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Interpolation of Quasi-Normed Spaces.

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On certain functionales arising in the theory of interpolation spaces

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Q3918563

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A Short Proof of an Interpolation Theorem

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Shorter Notes: The Marcinkiewicz Interpolation Theorem

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An extension of the Marcinkiewicz interpolation theorem to Lorentz spaces

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Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation

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Minimal and maximal methods of interpolation

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Interpolation between $H^ p $spaces: The complex method

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Notes on Wolff's Note on Interpolation Spaces

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Q4136043

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On functions of bounded mean oscillation

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Q4118037

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Measure of non-compactness and interpolation of compactness for a class of integral transformations

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Q3039945

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Q3345299

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A generalization of the Heinz inequality

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Q5576409

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Contributions to the theory of interpolation of operations

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A theorem about interpolation of operations on intermediate spaces

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Contributions to the theory of interpolation of operations. II

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Fractional powers of operators

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Fractional powers of operators. II: Interpolation spaces

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Fractional powers of operators. III: Negative powers. IV: Potential operators

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Q5610007

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Q5662944

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A general interpolation theorem of Marcinkiewicz type

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On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces

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Q4067638

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Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity

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Applications of the complex interpolation method to a von Neumann algebra: non-commutative $L^ p$-spaces

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Spectral permanence of scalar operators

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Structure and interpolation theorems for certain Lipschitz spaces and estimates for the $\overline\partial$ equation

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Interpolation of multilinear functionals on $L^{\varphi\psi}$ spaces

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Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces

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Modular interpolation spaces. I

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Q5339612

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Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications

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Sur les espaces d'interpolation; dualité.

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Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs

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Théorèmes de trace et d'interpolation. IV

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Q5549989

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On a class of interpolation spaces

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Multipliers in $L^p$ and interpolation

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On Certain Interpolation Spaces Related to Generalized Semi-Groups.

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Some theorems on interpolation spaces with applications to approximation in $L_{p}$

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Interpolation of weighted spaces of differentiable functions on $R^ n$.

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Q5819609

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Some new functional spaces

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Interpolation theorems for operators in function spaces

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Q3310417

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A remark on the Riesz and Calderon-Zygmund theorem

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Generalized Hardy inequalities in rearrangement invariant spaces

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A generalization of the Shimogaki theorem

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The computation of the K functional for couples of rearrangement invariant spaces

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Fourier Type and Complex Interpolation

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Complex interpolation and geometry of Banach spaces

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Q3334466

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An interpolation theorem

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Interpolation in a Banach space

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Sul teorema di Riesz-Thorin

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Q5559882

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Q5678054

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Q3957158

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Fredholmspektren verbundener Operatoren

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On imbedding theorems for Sobolev spaces and some of their generalizations

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Q5616407

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Orlicz spaces and modular spaces

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Sur un Théorème D'interpolation de J. Lions et J. Peetre

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Q5529952

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Reiteration theorems for real interpolation and approximation spaces

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Interpolation of Caldéron and Ovčinnikov pairs

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Spectral interpolation in $L_ p$ spaces

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Interpolation and vector-valued functions

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Interpolation theorems for operators relatively bounded by differential-type transformations.

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Q5519432

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Q4084169

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Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen

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Convolution operators and L(p, q) spaces

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Fractional Integration in Orlicz Spaces. I

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Two Elementary Theorems on the Interpolation of Linear Operators

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Ein Satz über die Erweiterung von linearen Operationen

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Q4347091

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Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen

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Q5730372

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Espaces D’interpolation, Généralisations, Applications

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Applications de la théorie des espaces d'interpolation dans l'analyse harmonique

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Espaces d'interpolation et théorème de Soboleff

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Q5569806

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Q5521917

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$\epsilon$-entropie, $\epsilon$-capacite et espaces d'interpolation

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Q5546246

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On the theory of ${\mathcal L}_{p, \lambda}$ spaces

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Exact interpolation theorems for Lipschitz continuous functions

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Q5621670

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A new approach in interpolation spaces

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Q5621671

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Q5630203

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Zur Interpolation von Operatorenräumen. (The interpolation of operator spaces)

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Q5682796

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Remark on the Dual of an Interpolation Space.

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Über den Durchschnitt von Interpolationsräumen

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On spaces of Triebel-Lizorkin type

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Q4129323

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Q3884631

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Two new interpolation methods based on the duality map

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Two observations on a theorem by Coifman

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Q3218579

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Q3331757

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Interpolation of normed Abelian groups

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Interpolation and non-commutative integration

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On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space.

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Compact linear mappings between interpolation spaces

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Q3334467

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Q3215820

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Gegenbeispiele zur Interpolationstheorie der nuklearen und absolutsummierenden Operatoren

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Approximation spaces

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Interpolationstheorie für Banachideale von beschränkten linearen Operatoren

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Some applications of the complex interpolation method to Banach lattices

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Q3036091

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Weighted Besov and Triebel spaces: Interpolation by the real method

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Q5550686

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The L-characteristics of linear operators on $L^{1/\alpha}([0,1])$

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Q4108721

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Interpolation between $L^\infty$ and $H^1$, the real method

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Function Theoretic Results for Complex Interpolation Families of Banach Spaces

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Interpolation of Banach spaces and negatively curved vector bundles

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Q3927702

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Rademacher series in symmetric spaces

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Eine Interpolationseigenschaft des Räumes BMO

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Interpolation of r-Banach spaces

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An application of interpolation theory to Fourier series

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Some remarks an interpolation of operators and Fourier coefficients

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Q3854207

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Besov spaces and Sobolev spaces on a nilpotent Lie group

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Some Analogues and Extensions of Marcinkiewicz's Interpolation Theorem

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Spectra of singular measures as multipliers on $L^ p$.

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Interpolation of spectra

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Q5553543

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Interpolation spaces by complex methods

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Über die Dualen von Banachräumen, die durch Lineare Approximationsprozesse Erzeugt Werden, und Anwendungen für Periodische Distributionen

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Q3701796

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Anisotropic Spaces I. (Interpolation of Abstract Spaces and Function Spaces)

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Non-commutative interpolation of Sobolev-Besov and Lebesgue spaces with weights

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Q4199471

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Interpolation in $L^{p}$ with boundary conditions

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A non-commutative extension of abstract integration

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Q3663804

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On the boundedness of operators rearranging the Haar system in the spaces $L_ p$.

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Spaces $\Lambda_\alpha$(X) and interpolation

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Q4092475

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Interpolation of operators for $\Lambda$ spaces

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Interpolation of n pairs and cou terexamples employing indices

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Hardy-Littlewood majorants in function spaces

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A note on norms of compression operators on function spaces

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Q3669959

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Q5597805

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Interpolation of several Banach spaces

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Interpolation of weighted $L_{p}$-spaces

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Approximation of $W_{p}$-continuity sets by $p$-Sidon sets

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Analytic interpolation of certain multiplier spaces

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Set approximation by lemniscates and the spectrum of an operator on an interpolation space

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Q5528064

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Q3756824

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Interpolation in polynomial classes and Markoff's inequality

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On limits of sequences of operators

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The characterization of functions arising as potentials

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On the interpolation of analytic families of operators acting on $H^p$- spaces

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Interpolation of Operators with Change of Measures

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Q3254065

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Boundedness of translation invariant operators on Hölder spaces and $L^ p$-spaces

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Approximation and interpolation

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Q5600363

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Q5655904

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Interpolation non linéaire et régularité

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Entropy numbers and interpolation

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Interpolation theory and measures of non‐compactness

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Q5773771

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Q5791768

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The K-functional for rearrangement invariant spaces

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An interpolation theorem and its applications to positive operators

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Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen

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Interpolationseigenschaften von Entropie und Durchmesseridealen kompakter Operatoren

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Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation

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Interpolation theory for function spaces of B<scp>ESOV</scp> type defined in domains. I

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Eine Bemerkung zur nicht-kommutativen Interpolation

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Spaces of Kudrjavcev type. I: Interpolation, embedding, and structure

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Spaces of Kudrjavcev type. II: Spaces of distributions: duality, interpolation

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On Spaces ofB8∞,q Type and 8 Type

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On $L_p(\ell_q)$-spaces of entire analytic functions of exponential type: complex interpolation and Fourier multipliers. The case $0<p<\infty, 0<q<\infty$

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Modulation spaces on the Euclidean n-space

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A weighted Hardy space variant of the Marcinkiewicz interpolation theorem

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Multipliers, spectral theory, and the interpolation of closed operators

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The spectra of multiplier transformations on the $L_p$ spaces

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A multilinear interpolation theorem

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Spectral theory and interpolation of operators

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Interpolation of operators of weak type between rearrangement invariant function spaces

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Q4153195

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On a theorem of Marcinkiewicz concerning interpolation of operations

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full work available at URL

https://doi.org/10.1007/bf01106938

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Identifiers

zbMATH Open document ID

0667.46046

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DOI

10.1007/BF01106938

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1117434