Toeplitz Operators on Weighted Bergman Spaces
Gerardo R. Chac\'on
TL;DR
This paper characterizes when Toeplitz operators are bounded or compact on weighted Bergman spaces using the Berezin transform, providing new insights into operator theory in complex analysis.
Contribution
It offers a new characterization of Toeplitz operators on weighted Bergman spaces under the Bekolle-Bonami condition via the Berezin transform.
Findings
Boundedness characterized by Berezin transform
Compactness characterized by Berezin transform
Applicable to weighted Bergman spaces satisfying Bekolle-Bonami condition
Abstract
In this article we characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the so-called Bekolle-Bonami condition in terms of the Berezin transform.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra