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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A remark on Schatten class Toeplitz operators on Bergman spaces
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by Jordi Pau PDF
Proc. Amer. Math. Soc. 142 (2014), 2763-2768 Request permission

Abstract:

We provide a new characterization (valid for all $0<p<\infty$) of Schatten class membership of Toeplitz operators induced by positive measures acting on weighted Bergman spaces on the unit ball. The result is new even for the case of the unit disk.
References
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Additional Information
  • Jordi Pau
  • Affiliation: Departament de Matemàtica Aplicada i Analisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
  • MR Author ID: 671438
  • Email: jordi.pau@ub.edu
  • Received by editor(s): May 12, 2012
  • Received by editor(s) in revised form: September 4, 2012
  • Published electronically: April 29, 2014
  • Additional Notes: The author was supported by SGR grant $2009$SGR $420$ (Generalitat de Catalunya) and DGICYT grant MTM$2011$-$27932$-$C02$-$01$ (MCyT/MEC)
  • Communicated by: Richard Rochberg
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 2763-2768
  • MSC (2010): Primary 32A36, 47B10, 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12006-5
  • MathSciNet review: 3209330