Radial operators on the weighted Bergman spaces over the polydisk

DOI10.1007/s10114-018-8132-4OpenAlexW2904543783WikidataQ128761452 ScholiaQ128761452MaRDI QIDQ1734920

Ran Li, Yu Feng Lu

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-8132-4

zbMATH Keywords

weighted Bergman spacesToeplitz operatorsradial operators\((m, \lambda)\)-Berezin transform

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator approximation theory (47A58)

Cites Work

• \((m, \lambda)\)-Berezin transform on the weighted Bergman spaces over the polydisk
• Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball
• \(m\)-Berezin transform and compact operators
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Approximation and symbolic calculus for Toeplitz algebras on the Bergman space
• The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\)
• Density of algebras generated by Toeplitz operators on Bergman spaces
• \(m\)-Berezin transform on the polydisk
• (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball
• Spaces of Holomorphic Functions in the Unit Ball
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