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zbMath1123.47001MaRDI QIDQ3447431
Publication date: 19 June 2007
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Hardy spaceBesov spaceboundednessBergman spaceBMOcompactnessBloch spacecomposition operatorsToeplitz operatorsintegral operatorsHankel operatorsBerezin transformSchatten classinterpolation of Banach spaces
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear composition operators (47B33)
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Ranks of commutators of Toeplitz operators on the harmonic Bergman space ⋮ The range of the Berezin transform ⋮ Essential norm of Toeplitz operators and Hankel operators on the weighted Bergman space ⋮ Volterra type operators on \(S^p(\mathbb{D})\) spaces ⋮ Composition operators on the Bergman spaces of a minimal bounded homogeneous domain ⋮ Superposition operators between weighted Banach spaces of analytic functions of controlled growth ⋮ Erratum to: ``Closed-range composition operators on \(\mathbb A^2\) and the Bloch space ⋮ Erratum to: ``Closed-range composition operators on weighted Bergman spaces ⋮ Isometric equivalence of integration operators ⋮ Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by \(A_{\infty}\)-type weights ⋮ Distance from Bloch-type functions to the analytic space \(F(p, q, s)\) ⋮ Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound ⋮ Toeplitz operators on higher Cauchy-Riemann spaces over the unit ball ⋮ Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains ⋮ Hypercyclic linear fractional composition operators on weighted Dirichlet spaces \(\mathcal{D}_\alpha^p\) ⋮ On the closures of Dirichlet type spaces in the Bloch space ⋮ Essential norm estimates for little Hankel operators with anti holomorphic symbols on the weighted Bergman space of the unit disk ⋮ Boundedness of the Bergman projection and some properties of Bergman type spaces ⋮ On grand and small Bergman spaces ⋮ Boundedness and compactness of Hankel operators on the sphere ⋮ Mean Lipschitz spaces and a generalized Hilbert operator ⋮ Embedding theorems and integration operators on Bergman spaces with exponential weights ⋮ Compact Toeplitz operators products on Hardy-Sobolev spaces over the unit polydisk ⋮ Corrigendum to: ``An application of atomic decomposition in Bergman spaces to the study of differences of composition operators ⋮ Volterra integral operators from Campanato spaces into general function spaces ⋮ Berezin transform and Toeplitz operators on Bergman spaces induced by regular weights ⋮ Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space ⋮ Estimate for norm of a composition operator on the Hardy-Dirichlet space ⋮ The restriction operator on Bergman spaces ⋮ The commutants of certain Toeplitz operators on weighted Bergman spaces ⋮ Spectral analysis of certain groups of isometries on Hardy and Bergman spaces ⋮ Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space ⋮ Superposition operators, Hardy spaces, and Dirichlet type spaces ⋮ Toeplitz operator for Dirichlet space through Sobolev multiplier algebra ⋮ Convergence of powers of composition operators on certain spaces of holomorphic functions defined on the right half plane ⋮ Compact operators on the Bergman spaces with variable exponents on the unit disc of \(\mathbb{C}\) ⋮ A generalized Hilbert operator acting on conformally invariant spaces ⋮ Hilbert-type operator induced by radial weight ⋮ Weyl's theorem for Toeplitz operators with polynomial symbols on the harmonic Bergman space ⋮ Path components of composition operators over the half-plane ⋮ Semigroups of composition operators on \(\mathcal{Q}_p\) spaces ⋮ Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights ⋮ Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives ⋮ Teichmüller space of circle diffeomorphisms with Zygmund smooth ⋮ Generalized Hölder spaces of holomorphic functions in domains in the complex plane ⋮ Fock-Sobolev spaces and their Carleson measures ⋮ Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree ⋮ Weighted composition operators on Korenblum type spaces of analytic functions ⋮ Translation preserving operators on locally compact abelian groups ⋮ Operator norms and essential norms of weighted composition operators from analytic function spaces into Zygmund-type spaces ⋮ Heat flow, BMO, and the compactness of Toeplitz operators ⋮ Linear sums of two composition operators on the Fock space ⋮ Toeplitz operators on Bergman spaces with locally integrable symbols ⋮ Composition operators and closures of Dirichlet type spaces \(\mathcal{D}_\alpha\) in the logarithmic Bloch space ⋮ Toeplitz operators on the Fock space ⋮ Quasi-wandering subspaces in the Bergman space ⋮ Carleson measures and Douglas' question on the Bergman space ⋮ Products of Toeplitz operators on a vector valued Bergman space ⋮ Toeplitz operators on weighted harmonic Bergman spaces ⋮ Spectrum, asymptotic invertibility and Szegö type theorems of Dirichlet Toeplitz operators ⋮ Lacunary series in Dirichlet-type spaces and pseudoanalytic extension ⋮ Toeplitz operators on the space of analytic functions with logarithmic growth ⋮ Finite sums of Toeplitz products on the Dirichlet space ⋮ Berezin transform and Toeplitz operators on harmonic Bergman spaces ⋮ Compact composition operators acting between weighted Bergman spaces of the unit ball ⋮ Trace ideals for pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces ⋮ Toeplitz and Cesàro-type operators on homogeneous Siegel domains ⋮ Volterra integral operator from weighted Bergman spaces to general function spaces ⋮ On a Stević-Sharma type operator from weighted-type spaces into Bloch-type spaces ⋮ Multipliers of Dirichlet-Type Subspaces of Weighted Bloch Spaces ⋮ Weighted composition operators on weighted Bergman and Dirichlet spaces ⋮ Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators ⋮ Boundedness of Toeplitz Operators in Bergman-Type Spaces ⋮ Corona and Wolff theorems for the multiplier algebra of Dirichlet–Morrey spaces ⋮ Maximal estimate and integral operators in Bergman spaces with doubling measure ⋮ Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ Fredholm composition operators on Hardy-Sobolev spaces with bounded reproducing kernel ⋮ Volterra integral operators from Dirichlet type spaces into Hardy spaces ⋮ Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions ⋮ The nonlinear superposition operators between some analytic function spaces ⋮ Path-lifting properties of the exponential map with applications to geodesics ⋮ Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems ⋮ A derivative-Hilbert operator acting on Dirichlet spaces ⋮ One weight inequality for Bergman projection and Calderón operator induced by radial weight ⋮ \(n\)-best kernel approximation in reproducing kernel Hilbert spaces ⋮ The constant of interpolation in Bloch type spaces ⋮ Differences of composition operators on weighted Bergman spaces ⋮ Trace formula of semicommutators ⋮ A Carleson type measure and a family of Möbius invariant function spaces ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces ⋮ Weighted theory of Toeplitz operators on the Bergman space ⋮ Volterra-type integration operators between weighted Bergman spaces and Hardy spaces ⋮ Composition operators, convexity of their Berezin range and related questions ⋮ A derivative-Hilbert operator acting on Hardy spaces ⋮ Development of the Berezin number inequalities ⋮ Superposition operators between normal weight Bloch spaces ⋮ Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights ⋮ Bergman projection and BMO in hyperbolic metric: improvement of classical result ⋮ Boundedness of weighted Bergman projection with several complex variables ⋮ Cesàro-type operators on Hardy spaces ⋮ Generalized weighted composition operators on vector-valued weighted Bergman space ⋮ Weighted composition operators on Bergman spaces Aωp$A^p_\omega$ ⋮ Essential positivity ⋮ Sampling measure on Bergman spaces ⋮ Small Hankel operators on generalized weighted Fock spaces ⋮ Some new applications of Berezin symbols ⋮ A new formalization of Dirichlet-type spaces ⋮ On normal \(\mu \)-Hankel operators ⋮ Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces ⋮ Unnamed Item ⋮ The \(p\)-integrable Teichmüller space for \(p \geqslant 1\) ⋮ The convergence of Galerkin-Petrov methods for Dirichlet projections ⋮ Toeplitz operators between Bergman-Orlicz spaces ⋮ Schatten classes of Toeplitz operators on Bergman-Besov Hilbert spaces in the unit ball ⋮ Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions ⋮ Weighted composition operators from Dirichlet-Zygmund-type spaces into Stević-type spaces ⋮ Hyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ A sufficient condition for Lp regularity of the Berezin transform ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ Hadamard-Bergman operators on weighted spaces ⋮ Composition operators and the closure of Dirichlet-Morrey spaces in the Bloch space ⋮ \(p\)-summing Bloch mappings on the complex unit disc ⋮ \(p\)-compactness of Bloch maps ⋮ Corona and Wolff theorems for the multiplier algebra of Besov–Morrey spaces ⋮ Difference of composition operators on the weighted Bergman spaces over the half-plane ⋮ On Berezin type operators and Toeplitz operators on Bergman spaces ⋮ Duality for \(\alpha\)-Möbius invariant Besov spaces ⋮ Volterra integral operators on a family of Dirichlet-Morrey spaces ⋮ Estimates for singular numbers of Hausdorff–Zhu operators and applications ⋮ Generalized integration operators from weighted Bergman spaces into general function spaces ⋮ Toeplitz operators on \(\mathcal{L}^p\)-spaces of a tree ⋮ Toeplitz-Berezin-type symbols and solutions of some operator equations ⋮ Bergman projection on Lebesgue space induced by doubling weight ⋮ Volterra integral operators from Morrey-type spaces to Dirichlet-Morrey type spaces ⋮ Generalized integration operators on some Banach spaces of analytic functions ⋮ Some properties of the integration operators on the spaces \(F(p, q, s)\) ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ Schur's test, Bergman-type operators and Gleason's problem on radial-angular mixed spaces ⋮ Boundedness of Hadamard-Bergman and variable Hadamard-Bergman convolution operators ⋮ Composition operators on Hilbert spaces of Dirichlet series ⋮ Composition operators on Fock-type spaces ⋮ Generalized Hilbert operators acting on weighted Bergman spaces and Dirichlet spaces ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Parametrization of the \(p\)-Weil-Petersson curves: holomorphic dependence ⋮ Toeplitz operators on Bergman spaces with exponential weights ⋮ Bergman projections induced by doubling weights on the unit ball of \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Difference of composition operators over the half-plane ⋮ Difference of composition operators over the half-plane ⋮ Toeplitz operators on weighted Bergman spaces ⋮ Integrable Teichmüller space ⋮ Integrable Teichmüller space ⋮ Compact Hankel operators on generalized Bergman spaces of the polydisc ⋮ Cesàro-like operators on the Hardy and Bergman spaces of the half plane ⋮ Integral operator acting on weighted Dirichlet spaces to Morrey type spaces ⋮ Complex symmetry of weighted composition operators on a Hilbert space of Dirichlet series ⋮ Path connectedness of Volterra type integral operators on Bergman and Dirichlet type spaces ⋮ Isometries of the product of composition operators on weighted Bergman space ⋮ Sum of generalized weighted composition operators between weighted spaces of analytic functions ⋮ Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces ⋮ On Stević-Sharma operators from the minimal Möbius invariant space into Zygmund-type spaces ⋮ Embedding theorem for Besov-Morrey type spaces and Volterra integral operators ⋮ Bicomplex weighted Bergman spaces and composition operators ⋮ The product of small Hankel operators on the Bergman space ⋮ Kernels of Toeplitz operators on the Bergman space ⋮ Some operator ideal properties of Volterra operators on Bergman and Bloch spaces ⋮ Schatten class operators on exponential weighted Bergman spaces ⋮ Cesàro-like operators between the Bloch space and Bergman spaces ⋮ Universal composition operators on weighted Dirichlet spaces ⋮ Sums of generalized weighted composition operators from the analytic Besov space into the Bloch space ⋮ Hausdorff–Berezin operators on weighted spaces ⋮ Compact Bergman type operators ⋮ Toeplitz operators on a class of radially weighted harmonic Bergman spaces ⋮ Composition operators with universal translates on \({S^2}(\mathbb{D})\) ⋮ Difference of composition-differentiation operators from Hardy spaces to weighted Bergman spaces via harmonic analysis ⋮ Schatten class Hankel operators on weighted Bergman spaces induced by regular weights ⋮ Mixed topologies on Saks spaces of vector-valued functions ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\) ⋮ Sarason's Ha-Plitz product problem ⋮ On the norm of the Hilbert matrix ⋮ \(p\)-Carleson measures in the quaternionic unit ball with applications to slice Campanato and \(Q_p\) spaces ⋮ Berezin Number and Norm Inequalities for Operators in Hilbert and Semi-Hilbert Spaces ⋮ Polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces ⋮ The heat transform on the complex plane ⋮ Absolutely summing Carleson embeddings on Bergman spaces ⋮ Integral representation of angular operators on the Bergman space over the upper half-plane ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dirichlet-Morrey type spaces and Volterra integral operators ⋮ Bounded extremal problems in Bergman and Bergman-Vekua spaces ⋮ Slowly growing solutions of ODEs revisited ⋮ A Derivative-Hilbert operator acting from Besov spaces into Bloch space ⋮ On generalized weighted composition operators acting between Fock-type spaces ⋮ Properties of analytic Morrey spaces and applications ⋮ Bergman-Morrey type spaces and Volterra integral operators ⋮ REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORS ⋮ COMPACT AND HILBERT–SCHMIDT WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ⋮ A Gleason-Kahane-Żelazko theorem for modules and applications to holomorphic function spaces ⋮ Density of polynomials in certain weighted Dirichlet type spaces ⋮ Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon ⋮ A remark on Schatten class Toeplitz operators on Bergman spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strict singularity of weighted composition operators on derivative Hardy spaces ⋮ The boundedness and essential norm of the difference of composition operators from weighted Bergman spaces into the Bloch space ⋮ Compact Hankel operators on compact Abelian groups ⋮ Embedding Hardy spaces $H^p$ into tent spaces and generalized integration operators ⋮ Unnamed Item ⋮ Characterizations of Morrey type spaces ⋮ Pseudoanalytic extension on F(p,p-2,s) spaces and applications ⋮ New classes of function spaces and singular operators ⋮ Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients ⋮ Approximation numbers of composition operators on weighted besov spaces of analytic functions ⋮ Norm estimates for a class of operators related to the Bergman projection ⋮ New classes of spaceable sets of analytic functions on the open unit disk ⋮ Linear differential equations with slowly growing solutions ⋮ MULTIPLIERS OF DIRICHLET-TYPE SUBSPACES OF BLOCH SPACE ⋮ Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces ⋮ Unnamed Item ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces ⋮ POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES ⋮ A new characterization of differences of generalized weighted composition operators from the Bloch space into weighted-type spaces ⋮ The Range of the Cesàro Operator Acting on ⋮ Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra ⋮ Toeplitz Operators with Radial Symbols on Weighted Holomorphic Orlicz Space ⋮ Toeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-Plane ⋮ The hyper-singular cousin of the Bergman projection ⋮ Hankel bilinear forms on generalized Fock–Sobolev spaces on C^n ⋮ THE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES ⋮ Boundedness of Volterra operators on spaces of entire functions ⋮ Generalized Hölder type spaces of harmonic functions in the unit ball and half space ⋮ Compact operators with BMO symbols on multiply-connected domains ⋮ Weighted composition operators on weighted Bergman spaces induced by doubling weights ⋮ Generalized weighted composition operators from weighted Bergman spaces into Zygmund-type spaces ⋮ Weighted composition operators from Dirichlet-type spaces into Stević-type spaces ⋮ Interpolation in model spaces ⋮ Unnamed Item ⋮ The closure of Dirichlet spaces in the Bloch space ⋮ Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Embedding of Dirichlet type spaces into tent spaces and Volterra operators ⋮ Besov-Morrey spaces and Volterra integral operator ⋮ Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces ⋮ MÖBIUS INVARIANT FUNCTION SPACES AND DIRICHLET SPACES WITH SUPERHARMONIC WEIGHTS ⋮ Unnamed Item ⋮ Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications ⋮ Unnamed Item ⋮ Toeplitzness of composition operators on a Hilbert space of Dirichlet series ⋮ Zero, finite rank, and compact big truncated Hankel operators on model spaces ⋮ Algebraic properties of Toeplitz operators on weighted Bergman spaces ⋮ Nuclear composition operators on Bloch spaces ⋮ A Toeplitz-type operator on Hardy spaces in the unit ball ⋮ Embedding Theorems for Dirichlet Type Spaces ⋮ Actions of the Möbius group on analytic functions ⋮ Dirichlet-Morrey type spaces and Volterra integral operators ⋮ A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF ℂn ⋮ Weighted composition operators from weighted Bergman spaces to Stević-type spaces ⋮ Hankel operators on Fock spaces Fp(ϕ) ⋮ Distance of a Bloch-type function to space ⋮ Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights ⋮ A family of Dirichlet–Morrey spaces ⋮ On Toeplitz operators on Bergman spaces of the unit polydisk ⋮ Application of modified complex Tremblay operator ⋮ Toeplitz operators on Bergman spaces of polygonal domains ⋮ Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space ⋮ Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains ⋮ Norm approximation by Taylor polynomials in Hardy and Bergman spaces ⋮ Generalized weighted composition operators on weighted Bergman spaces, II ⋮ Hankel operators and invariant subspaces of the Dirichlet space ⋮ GENERALISED WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACES INDUCED BY DOUBLING WEIGHTS ⋮ Unnamed Item ⋮ Polynomial approximation and composition operators ⋮ Unnamed Item ⋮ Schatten class and Berezin transform of quaternionic linear operators ⋮ Composition operators and closures of Dirichlet type spaces in logarithmic Bloch-type spaces ⋮ Bloch functions on the unit ball of a Banach space ⋮ Carleson measures and Toeplitz operators on small Bergman spaces on the ball ⋮ Every Separable Complex Fréchet Space with a Continuous Norm is Isomorphic to a Space of Holomorphic Functions ⋮ Unnamed Item ⋮ On mixed norm holomorphic grand and small spaces ⋮ Berezin transform and Toeplitz operators on polygonal domains ⋮ Unnamed Item ⋮ Schatten class generalized Toeplitz operators on the Bergman space ⋮ Unnamed Item ⋮ VMO-Teichmüller space on the real line ⋮ Curvature Invariant and Generalized Canonical Operator Models – I