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Publication:3447431

zbMath1123.47001MaRDI QIDQ3447431

K. H. Zhu

Publication date: 19 June 2007


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systemsA derivative-Hilbert operator acting on Dirichlet spacesOne weight inequality for Bergman projection and Calderón operator induced by radial weight\(n\)-best kernel approximation in reproducing kernel Hilbert spacesThe constant of interpolation in Bloch type spacesDifferences of composition operators on weighted Bergman spacesTrace formula of semicommutatorsA Carleson type measure and a family of Möbius invariant function spacesHelton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spacesGeneralized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spacesWeighted theory of Toeplitz operators on the Bergman spaceVolterra-type integration operators between weighted Bergman spaces and Hardy spacesComposition operators, convexity of their Berezin range and related questionsA derivative-Hilbert operator acting on Hardy spacesDevelopment of the Berezin number inequalitiesSuperposition operators between normal weight Bloch spacesTwo weight inequality for Hankel form on weighted Bergman spaces induced by doubling weightsBergman projection and BMO in hyperbolic metric: improvement of classical resultBoundedness of weighted Bergman projection with several complex variablesCesàro-type operators on Hardy spacesGeneralized weighted composition operators on vector-valued weighted Bergman spaceWeighted composition operators on Bergman spaces Aωp$A^p_\omega$Essential positivitySampling measure on Bergman spacesSmall Hankel operators on generalized weighted Fock spacesSome new applications of Berezin symbolsA new formalization of Dirichlet-type spacesOn normal \(\mu \)-Hankel operatorsDominating sets and reverse Carleson measures on exponentially weighted Bergman spacesUnnamed ItemThe \(p\)-integrable Teichmüller space for \(p \geqslant 1\)The convergence of Galerkin-Petrov methods for Dirichlet projectionsToeplitz operators between Bergman-Orlicz spacesSchatten classes of Toeplitz operators on Bergman-Besov Hilbert spaces in the unit ballCesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functionsWeighted composition operators from Dirichlet-Zygmund-type spaces into Stević-type spacesHyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman spaceA sufficient condition for Lp regularity of the Berezin transform\(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangleHadamard-Bergman operators on weighted spacesComposition 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 mapsCorona and Wolff theorems for the multiplier algebra of Besov–Morrey spacesDifference of composition operators on the weighted Bergman spaces over the half-planeOn Berezin type operators and Toeplitz operators on Bergman spacesDuality for \(\alpha\)-Möbius invariant Besov spacesVolterra integral operators on a family of Dirichlet-Morrey spacesEstimates for singular numbers of Hausdorff–Zhu operators and applicationsGeneralized integration operators from weighted Bergman spaces into general function spacesToeplitz operators on \(\mathcal{L}^p\)-spaces of a treeToeplitz-Berezin-type symbols and solutions of some operator equationsBergman projection on Lebesgue space induced by doubling weightVolterra integral operators from Morrey-type spaces to Dirichlet-Morrey type spacesGeneralized integration operators on some Banach spaces of analytic functionsSome properties of the integration operators on the spaces \(F(p, q, s)\)Big Hankel operators on Hardy spaces of strongly pseudoconvex domainsSchur's test, Bergman-type operators and Gleason's problem on radial-angular mixed spacesBoundedness of Hadamard-Bergman and variable Hadamard-Bergman convolution operatorsComposition operators on Hilbert spaces of Dirichlet seriesComposition operators on Fock-type spacesGeneralized Hilbert operators acting on weighted Bergman spaces and Dirichlet spacesSpectral deviation of concentration operators for the short-time Fourier transformParametrization of the \(p\)-Weil-Petersson curves: holomorphic dependenceToeplitz operators on Bergman spaces with exponential weightsBergman projections induced by doubling weights on the unit ball of \(\mathbb{C}^n\)Unnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemDifference of composition operators over the half-planeDifference of composition operators over the half-planeToeplitz operators on weighted Bergman spacesIntegrable Teichmüller spaceIntegrable Teichmüller spaceCompact Hankel operators on generalized Bergman spaces of the polydiscCesàro-like operators on the Hardy and Bergman spaces of the half planeIntegral operator acting on weighted Dirichlet spaces to Morrey type spacesComplex symmetry of weighted composition operators on a Hilbert space of Dirichlet seriesPath connectedness of Volterra type integral operators on Bergman and Dirichlet type spacesIsometries of the product of composition operators on weighted Bergman spaceSum of generalized weighted composition operators between weighted spaces of analytic functionsPolynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spacesOn Stević-Sharma operators from the minimal Möbius invariant space into Zygmund-type spacesEmbedding theorem for Besov-Morrey type spaces and Volterra integral operatorsBicomplex weighted Bergman spaces and composition operatorsThe product of small Hankel operators on the Bergman spaceKernels of Toeplitz operators on the Bergman spaceSome operator ideal properties of Volterra operators on Bergman and Bloch spacesSchatten class operators on exponential weighted Bergman spacesCesàro-like operators between the Bloch space and Bergman spacesUniversal composition operators on weighted Dirichlet spacesSums of generalized weighted composition operators from the analytic Besov space into the Bloch spaceHausdorff–Berezin operators on weighted spacesCompact Bergman type operatorsToeplitz operators on a class of radially weighted harmonic Bergman spacesComposition operators with universal translates on \({S^2}(\mathbb{D})\)Difference of composition-differentiation operators from Hardy spaces to weighted Bergman spaces via harmonic analysisSchatten class Hankel operators on weighted Bergman spaces induced by regular weightsMixed 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 problemOn the norm of the Hilbert matrix\(p\)-Carleson measures in the quaternionic unit ball with applications to slice Campanato and \(Q_p\) spacesBerezin Number and Norm Inequalities for Operators in Hilbert and Semi-Hilbert SpacesPolynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spacesThe heat transform on the complex planeAbsolutely summing Carleson embeddings on Bergman spacesIntegral representation of angular operators on the Bergman space over the upper half-planeUnnamed ItemUnnamed ItemUnnamed ItemDirichlet-Morrey type spaces and Volterra integral operatorsBounded extremal problems in Bergman and Bergman-Vekua spacesSlowly growing solutions of ODEs revisitedA Derivative-Hilbert operator acting from Besov spaces into Bloch spaceOn generalized weighted composition operators acting between Fock-type spacesProperties of analytic Morrey spaces and applicationsBergman-Morrey type spaces and Volterra integral operatorsREVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORSCOMPACT AND HILBERT–SCHMIDT WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACESA Gleason-Kahane-Żelazko theorem for modules and applications to holomorphic function spacesDensity of polynomials in certain weighted Dirichlet type spacesSchatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenonA remark on Schatten class Toeplitz operators on Bergman spacesUnnamed ItemUnnamed ItemStrict singularity of weighted composition operators on derivative Hardy spacesThe boundedness and essential norm of the difference of composition operators from weighted Bergman spaces into the Bloch spaceCompact Hankel operators on compact Abelian groupsEmbedding Hardy spaces $H^p$ into tent spaces and generalized integration operatorsUnnamed ItemCharacterizations of Morrey type spacesPseudoanalytic extension on F(p,p-2,s) spaces and applicationsNew classes of function spaces and singular operatorsWeighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficientsApproximation numbers of composition operators on weighted besov spaces of analytic functionsNorm estimates for a class of operators related to the Bergman projectionNew classes of spaceable sets of analytic functions on the open unit diskLinear differential equations with slowly growing solutionsMULTIPLIERS OF DIRICHLET-TYPE SUBSPACES OF BLOCH SPACEEmbedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spacesUnnamed ItemOperators between different weighted Fréchet and (LB)-spaces of analytic functionsWeighted composition operators from Banach spaces of analytic functions into Bloch-type spacesPOWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACESA new characterization of differences of generalized weighted composition operators from the Bloch space into weighted-type spacesThe Range of the Cesàro Operator Acting onBerger-Coburn Theorem, Localized Operators, and the Toeplitz AlgebraToeplitz Operators with Radial Symbols on Weighted Holomorphic Orlicz SpaceToeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-PlaneThe hyper-singular cousin of the Bergman projectionHankel bilinear forms on generalized Fock–Sobolev spaces on C^nTHE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACESBoundedness of Volterra operators on spaces of entire functionsGeneralized Hölder type spaces of harmonic functions in the unit ball and half spaceCompact operators with BMO symbols on multiply-connected domainsWeighted composition operators on weighted Bergman spaces induced by doubling weightsGeneralized weighted composition operators from weighted Bergman spaces into Zygmund-type spacesWeighted composition operators from Dirichlet-type spaces into Stević-type spacesInterpolation in model spacesUnnamed ItemThe closure of Dirichlet spaces in the Bloch spaceHardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related resultsUnnamed ItemUnnamed ItemUnnamed ItemEmbedding of Dirichlet type spaces into tent spaces and Volterra operatorsBesov-Morrey spaces and Volterra integral operatorHankel operators with pluriharmonic symbols on Hardy-Sobolev spacesMÖBIUS INVARIANT FUNCTION SPACES AND DIRICHLET SPACES WITH SUPERHARMONIC WEIGHTSUnnamed ItemSome operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applicationsUnnamed ItemToeplitzness of composition operators on a Hilbert space of Dirichlet seriesZero, finite rank, and compact big truncated Hankel operators on model spacesAlgebraic properties of Toeplitz operators on weighted Bergman spacesNuclear composition operators on Bloch spacesA Toeplitz-type operator on Hardy spaces in the unit ballEmbedding Theorems for Dirichlet Type SpacesActions of the Möbius group on analytic functionsDirichlet-Morrey type spaces and Volterra integral operatorsA CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF ℂnWeighted composition operators from weighted Bergman spaces to Stević-type spacesHankel operators on Fock spaces Fp(ϕ)Distance of a Bloch-type function to spaceSchatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weightsA family of Dirichlet–Morrey spacesOn Toeplitz operators on Bergman spaces of the unit polydiskApplication of modified complex Tremblay operatorToeplitz operators on Bergman spaces of polygonal domainsComposition operators and closures of a class of Möbius invariant function spaces in the Bloch spaceInterpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domainsNorm approximation by Taylor polynomials in Hardy and Bergman spacesGeneralized weighted composition operators on weighted Bergman spaces, IIHankel operators and invariant subspaces of the Dirichlet spaceGENERALISED WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACES INDUCED BY DOUBLING WEIGHTSUnnamed ItemPolynomial approximation and composition operatorsUnnamed ItemSchatten class and Berezin transform of quaternionic linear operatorsComposition operators and closures of Dirichlet type spaces in logarithmic Bloch-type spacesBloch functions on the unit ball of a Banach spaceCarleson measures and Toeplitz operators on small Bergman spaces on the ballEvery Separable Complex Fréchet Space with a Continuous Norm is Isomorphic to a Space of Holomorphic FunctionsUnnamed ItemOn mixed norm holomorphic grand and small spacesBerezin transform and Toeplitz operators on polygonal domainsUnnamed ItemSchatten class generalized Toeplitz operators on the Bergman spaceUnnamed ItemVMO-Teichmüller space on the real lineCurvature Invariant and Generalized Canonical Operator Models – I