Toeplitz Operators on Weighted Bergman Spaces over Tubular Domains
Lvchang Li, Jiaqing Ding, Haichou Li
TL;DR
This paper investigates the conditions for boundedness and compactness of Toeplitz operators on weighted Bergman spaces over tubular domains, utilizing Carlson measures, and provides related measure results.
Contribution
It introduces necessary and sufficient conditions for Toeplitz operators' boundedness and compactness on these spaces, using Carlson measures, which is a novel approach.
Findings
Characterization of bounded Toeplitz operators
Criteria for compactness of Toeplitz operators
Results on Carlson measures related to tubular domains
Abstract
In this paper, we mainly study the necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators on weighted Bergman spaces over a tubular domains by using the Carlson measures on tubular domains. We also give some related results about Carlson measures.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis