Characterizations for the difference of weighted composition operators over the polydisk

DOI10.1016/j.jmaa.2023.128011OpenAlexW4389454688MaRDI QIDQ6146380

Inyoung Park

Publication date: 5 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128011

zbMATH Keywords

Carleson measureweighted Bergman spaceweighted composition operatordifferencepolydiskreproducing kernel thesis

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Spaces and algebras of analytic functions of one complex variable (30Hxx) Holomorphic functions of several complex variables (32Axx)

Cites Work

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• Compact differences of composition operators over polydisks
• The Julia-Wolff-Carathéodory theorem in polydisks
• BMO in the Bergman metric on bounded symmetric domains
• Embedding theorems for spaces of analytic functions via Khinchine's inequality
• Compact and Hilbert-Schmidt differences of weighted composition operators
• Joint Carleson measure and the difference of composition operators on \(A_\alpha^p(\mathbb{B}_n)\)
• Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
• Composition operators induced by symbols defined on a polydisk
• Theory of Bergman Spaces in the Unit Ball of C^n
• The pseudohyperbolic metric and Bergman spaces in the ball
• Classical Fourier Analysis
• Carleson Measures in Hardy and Weighted Bergman Spaces of Polydiscs
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• Spaces of Holomorphic Functions in the Unit Ball
• Unbounded Composition Operators on H 2 (B 2 )
• Joint Carleson measure for the difference of composition operators on the polydisks
• Compact difference of composition operators on the Hardy spaces

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