On convergence of the Berezin transforms

DOI10.1016/j.jmaa.2020.124295OpenAlexW3001420438MaRDI QIDQ2195200

Nihat Gökhan Göğüş, Sonmez Sahutoglu

Publication date: 8 September 2020

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

Full work available at URL: https://arxiv.org/abs/2001.09448

zbMATH Keywords

Bergman kernelBerezin transformRamadanov's theorem

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

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• BMO in the Bergman metric on bounded symmetric domains
• A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n
• The restriction operator on Bergman spaces
• Density of algebras generated by Toeplitz operators on Bergman spaces
• Nilpotent Toeplitz operators on Reinhardt domains
• Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
• Singular Berezin transforms
• Compact operators via the Berezin transform
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
• Invariant distances and metrics in complex analysis

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