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The Berezin transform of Toeplitz operators on the weighted Bergman space

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Tong, C., Li, J. and Arroussi, H. (2022) The Berezin transform of Toeplitz operators on the weighted Bergman space. Potential Analysis, 57. pp. 263-281. ISSN 0926-2601

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To link to this item DOI: 10.1007/s11118-021-09915-2

Abstract/Summary

In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. Moreover, we estimate the essential norm of them assuming that they are bounded.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:98052
Publisher:Springer
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