Composition operators on distinct Bergman spaces over planar domains

MaRDI QIDQ2212298

Hansong Huang, Shan Li

Publication date: 20 November 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2020/26-49.html

zbMATH Keywords

Bergman spacescomposition operatorsdomains of \(C^2\)-boundary

Mathematics Subject Classification ID

Linear composition operators (47B33) Bergman spaces and Fock spaces (30H20)

Related Items

Toeplitz operators on weighted Bergman spaces on finitely connected domains ⋮ Unnamed Item

Cites Work

• Smoothness to the boundary of conformal maps
• Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)
• On geometric properties of smooth maps that preserve \(H^2(\mathbb B_n)\)
• Composition operators on the polydisc induced by smooth symbols
• Composition operators induced by smooth self-maps of the real or complex unit balls
• Compact composition operators on \(H^ p(B_ N)\)
• The essential norm of a composition operator
• Composition operators and classical function theory
• Weighted composition operators between Bloch-type spaces.
• Essential norms of composition operators
• Composition as an integral operator
• Weighted composition operators that preserve frames
• Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• Composition operators between Bergman and Hardy spaces
• Fredholm composition operators and proper holomorphic mappings
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