Sur l'utilisation des suites inconditionnellement sommables dans la théorie des espaces d'interpolation. (Towards the utilization of the unconditionally summable series in the theory of interpolation spaces)
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Publication:2551235
zbMath0233.46047MaRDI QIDQ2551235
Publication date: 1972
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_1971__46__173_0
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)
Related Items (17)
Stafney’s lemma holds for several “classical” interpolation methods ⋮ Interpolation of Morrey-Campanato and related smoothness spaces ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ Stability of Fredholm properties on interpolation Banach spaces ⋮ Minimal and maximal methods of interpolation ⋮ One-sided compactness results for Aronszajn-Gagliardo functors ⋮ Calderón-Lozanovskii interpolation on quasi-Banach lattices ⋮ Lions--Peetre's interpolation methods associated with quasi-power functions and some applications ⋮ Complex interpolation and Calderón product of quasi-Banach spaces ⋮ A discrete transform and decompositions of distribution spaces ⋮ Interpolation of compactness using Aronszajn-Gagliardo functors ⋮ On interpolation of some quasi-Banach spaces ⋮ Stein interpolation for the real interpolation method ⋮ Interpolations of mixed-norm function spaces ⋮ Interpolation orbit functors and reiteration theorems ⋮ A unified theory of commutator estimates for a class of interpolation methods
Cites Work
- Sur le nombre de paramètres dans la définition de certains espaces d'interpolation
- On a class of interpolation spaces
- Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
- Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
- Zur Interpolation von Operatorenräumen. (The interpolation of operator spaces)
- Sur la transformation de Fourier des fonctions à valeurs vectorielles
- A Remarkable Series of Orthogonal Functions (I)
- Some remarks on (p,q)-absolutely summing operators in $l_{p}$-spaces
- Interpolationstheorie für Banachideale von beschränkten linearen Operatoren
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications
- A new approach in interpolation spaces
- Intermediate spaces and interpolation, the complex method
- Quelques inégalités pour les opérations linéaires
- Commutativite de deux foncteurs d'interpolation et applications
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