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BEREZIN TRANSFORMS AND TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE HALF-PLANE

  • Published : 2007.05.31

Abstract

We deal with Bergman functions defined on the half-plane. We study integral operators, and some relationship between Berezin transforms and Toeplitz operators, and also show that some Berezin transforms are Mobius invariant.

Keywords

Bergman spaces;half-plane;Toeplitz operators;Berezin transforms;integral operators

References

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  5. J. Y. Kim, Weighted Analytic Bergman Spaces of the Half Plane and their Toeplitz Operators, Ph. D. Thesis, Sookmyung Women's University, 2001

Cited by

  1. Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane vol.217, pp.7, 2010, https://doi.org/10.1016/j.amc.2010.09.001