Weighted composition operators on spaces of functions with derivative in a Bergman space

DOI10.1007/s43034-021-00111-2OpenAlexW3126570274MaRDI QIDQ2228542

Junming Liu, Huayou Xie, Yu Tian Wu

Publication date: 17 February 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-021-00111-2

zbMATH Keywords

boundednessBergman spacecompactnessmultiplication operatorcomposition operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Cites Work

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• Weighted composition operators between spaces of Dirichlet type
• Carleson measures, multipliers and integration operators for spaces of Dirichlet type
• Bloch type spaces of analytic functions
• Volterra type operators on \(S^p(\mathbb{D})\) spaces
• Invariant subspaces of the shift plus complex Volterra operator
• Invariant subspaces of parabolic self-maps in the Hardy space
• Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
• Weighted composition operators from analytic Besov spaces into the Bloch space
• Isometries among composition operators on Besov type spaces
• Multiplication operators on S2($$\mathbb{D}$$)
• Weighted composition operators from Zygmund type spaces into Bloch type spaces
• Essential norm of weighted composition operators on Zygmund-type spaces with normal weight

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