On Berezin type operators and Toeplitz operators on Bergman spaces

DOI10.1007/s43037-023-00280-3OpenAlexW4383557225MaRDI QIDQ6135049

Lifang Zhou, Gabriel T. Prǎjiturǎ, Ruhan Zhao

Publication date: 25 July 2023

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

Full work available at URL: https://doi.org/10.1007/s43037-023-00280-3

zbMATH Keywords

Toeplitz operatorsboundedness and compactnessBergman-Carleson measuresBerezin-type operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral operators (47G10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel operators (47B34)

Related Items (1)

Carleson measures and Berezin-type operators on Fock spaces

Cites Work

• Sharp Forelli-Rudin estimates and the norm of the Bergman projection
• Area operator on Bergman spaces
• Carleson measures and Teoplitz operators for weighted Bergman spaces on the unit ball
• Area operators from \(\mathcal{H}^p\) spaces to \(L^q\) spaces
• Generalized area operators on Hardy spaces
• \(L^p - L^q\) boundedness of Forelli-Rudin type operators on the unit ball of \(\mathbb{C}^n\)
• Theory of Bergman Spaces in the Unit Ball of C^n
• Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
• Spaces of Holomorphic Functions in the Unit Ball
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