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The compactness of a class of radial operators on weighted Bergman spaces

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Publication:1704299
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DOI10.15352/AOT.1707-1202MaRDI QIDQ1704299

Maofa Wang, Wenhua Lan, Yu-Cheng Li

Publication date: 9 March 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1513328639


zbMATH Keywords

compact operatorweighted Bergman spaceBerezin transformradial operatoressential commutant


Mathematics Subject Classification ID

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


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Cites Work

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  • Composition operators induced by smooth self-maps of the real or complex unit balls
  • Functions invariant under the Berezin transform
  • Trace ideal criteria for Toeplitz operators
  • The eigenvalues of limits of radial Toeplitz operators
  • Compact Toeplitz operators on Bergman spaces
  • Compact operators via the Berezin transform
  • Approximation and then-Berezin transform of operators on the Bergman space
  • The Berezin transform and radial operators


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