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arXiv · 1603.06085

Toeplitz operators on the weighted harmonic Bergman spaces

Zipeng Wang·Xianfeng Zhao
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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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Zipeng Wang, Xianfeng Zhao. 2016-03-19. Toeplitz operators on the weighted harmonic Bergman spaces. https://doi.org/10.1215/17358787-2017-0049

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