Asymptotic behavior of Bergman kernels with logarithmic weight

DOI10.1016/j.jmaa.2011.06.044zbMath1253.30083OpenAlexW2045745775MaRDI QIDQ641584

Petr Blaschke

Publication date: 24 October 2011

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.2011.06.044

zbMATH Keywords

asymptotic expansionBergman spaceBergman kernel

Mathematics Subject Classification ID

Asymptotic representations in the complex plane (30E15) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Weighted Bergman kernels for logarithmic weights
• Toeplitz operators and weighted Bergman kernels
• Mellin transform, monomial symbols, and commuting Toeplitz operators
• Berezin versus Mellin.
• Bergman kernel asymptotics for generalized Fock spaces
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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