Essential norm estimates for positive Toeplitz operators on the weighted Bergman space of a minimal bounded homogeneous domain

Details Essential norm estimates for positive Toeplitz operators on the weighted Bergman space of a minimal bounded homogeneous domain Essential norm estimates for positive Toeplitz operators on the weighted Bergman space of a minimal bounded homogeneous domain

2011-09-21

arxiv.org/abs/1109.4500v1

Mathematics

Functional Analysis

11 pages

Scientific paper

We give estimates for the essential norms of a positive Toeplitz operator on
the Bergman space of a minimal bounded homogeneous domain in terms of the
Berezin transform or the averaging function of the symbol. Using these
estimates, we also give necessary and sufficient conditions for the positive
Toeplitz operators to be compact.

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