A remark on Schatten class Toeplitz operators on Bergman spaces
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- 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