Berezin transform, Mellin transform and Toeplitz operators

DOI10.1007/s11785-010-0051-zzbMath1303.47036OpenAlexW2047381208MaRDI QIDQ371639

Željko Čučković, Bo Li

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0051-z

zbMATH Keywords

Mellin transformBergman spacesToeplitz operatorsBerezin transform

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Related Items (4)

Convexity of the Berezin range ⋮ The Berezin transform and its applications ⋮ The range of the Berezin transform ⋮ Algebraic properties of Toeplitz operators on weighted Bergman spaces

Cites Work

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• Finite sums of Toeplitz products on the polydisk
• Commuting Toeplitz operators with harmonic symbols
• Sums of Toeplitz products with harmonic symbols
• Norm of Berezin transform on \(L^p\) space
• An invariant volume-mean-value property
• Mellin transform, monomial symbols, and commuting Toeplitz operators
• Berezin versus Mellin.
• On the range of the Berezin transform
• Density of algebras generated by Toeplitz operators on Bergman spaces
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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