The Berezin transform of Toeplitz operators on the weighted Bergman space

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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/98052
Identification Number/DOI	10.1007/s11118-021-09915-2
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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