Toeplitz operators on the weighted harmonic Bergman spaces
Zipeng Wang, Xianfeng Zhao
TL;DR
This paper investigates Toeplitz operators on weighted harmonic Bergman spaces with Muckenhoupt A_2 weights, providing characterizations of their boundedness, compactness, invertibility, and Schatten class membership.
Contribution
It offers new characterizations of Toeplitz operators on weighted harmonic Bergman spaces with A_2 weights, including criteria for boundedness, compactness, invertibility, and Schatten class inclusion.
Findings
Characterization of bounded Toeplitz operators
Criteria for compactness and invertibility
Membership conditions in Schatten classes
Abstract
In this paper, we study Toeplitz operators on the weighted harmonic Bergman spaces with nonnegative symbols, the weights we choose here are Muckenhoupt A_2 weights. Results obtained include characterizations of bounded Toeplitz operators, compact Toeplitz operators, invertible Toeplitz operators and Toeplitz operators in the Schatten classes.
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