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Toeplitz operators with L 1 symbols on Bergman spaces in the unit ball of

Toeplitz operators with L 1 symbols on Bergman spaces in the unit ball of This paper contains new results on L 1 symbols of bounded (resp. compact) Toeplitz operators on Bergman spaces in the unit disk of the complex plane, ℂℂ. Our results improve and extend earlier results of N. Zorboska, J. Miao and D. Zheng. We also extend these results to the unit ball of C n . Part of our study can be done for more general linear operators on Bergman spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Toeplitz operators with L 1 symbols on Bergman spaces in the unit ball of

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Publisher
de Gruyter
Copyright
©© de Gruyter 2010
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/APAM.2010.027
Publisher site
See Article on Publisher Site

Abstract

This paper contains new results on L 1 symbols of bounded (resp. compact) Toeplitz operators on Bergman spaces in the unit disk of the complex plane, ℂℂ. Our results improve and extend earlier results of N. Zorboska, J. Miao and D. Zheng. We also extend these results to the unit ball of C n . Part of our study can be done for more general linear operators on Bergman spaces.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Jan 1, 2011

Keywords: Toeplitz operators; compact operator; Berezin transform

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