Boundedness, compactness and Schatten-class membership of weighted composition operators

DOI10.1007/s00020-010-1795-6zbMath1242.47019arXiv0907.2370OpenAlexW1983064233WikidataQ56319218 ScholiaQ56319218MaRDI QIDQ601707

Eva A. Gallardo-Gutiérrez, Romesh Kumar, Jonathan R. Partington

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2370

zbMATH Keywords

weighted composition operatorsreproducing kernelsangular derivativeCarleson embeddings

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10)

Related Items (16)

Invariant densities for random continued fractions ⋮ Compactification and decompactification by weights on Bergman spaces ⋮ Composition operators on Hardy-Smirnov spaces ⋮ Weighted composition operators on the Dirichlet space: boundedness and spectral properties ⋮ A class of invariant subspaces of weighted composition operators on the Hardy-Hilbert space ⋮ Generators of \(C_0\)-semigroups of weighted composition operators ⋮ Isometric weighted composition operators on weighted Bergman spaces ⋮ The role of BMOA in the boundedness of weighted composition operators on the unit ball ⋮ Approximation numbers of weighted composition operators ⋮ Norm estimates for weighted composition operators on spaces of holomorphic functions ⋮ Corrigendum to ``The role of BMOA in the boundedness of weighted composition operators [J.\ Funct.\ Anal.\ 258, No. 11, 3593--3603 (2010; Zbl 1193.47031)] ⋮ Compactification, and beyond, of composition operators on Hardy spaces by weights ⋮ The reproducing kernel thesis for lower bounds of weighted composition operators ⋮ Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk ⋮ A hyperbolic universal operator commuting with a compact operator ⋮ Weighted composition operators on Hardy-Smirnov spaces

Cites Work

• Weighted composition operators on \(H^{2}\) and applications
• Inequalities on Bergman spaces
• Composition operators and classical function theory
• Weighted composition operators between different Hardy spaces
• Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
• Applications of the discrete Weiss conjecture in operator theory
• Overcompleteness of sequences of reproducing kernels in model spaces
• Linear relations in the Calkin algebra for composition operators
• Compact weighted composition operators on the Hardy space
• A Carleson Measure Theorem for Bergman Spaces
• Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators
• The Isometries of H^p
• Radial Limits and Invariant Subspaces
• Weighted composition operators on Hardy spaces
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