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20162026
most citedToeplitz operators on the weighted harmonic Bergman spaces

4 citations · 5 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.FA2026

Schatten class membership of products of composition operators and their adjoints

Qianrui Leng, Xianfeng Zhao

In this paper, we investigate the Schatten class membership of the product of a composition operator and the adjoint of another composition operator on the Hardy and Bergman spaces…

math.FA2026

Hypercyclic Bergman-Toeplitz operators with some harmonic symbols

Qianrui Leng, Xiaoyan Zhang, Xianfeng Zhao

Little is known about the dynamics of Toeplitz operators on the Bergman space, and even in the case of harmonic symbols, few results are available. In this paper, we study the dyna…

math.FA2023

Toeplitz operators on -spaces of a tree

Mingmei Huang, Xiaoyan Zhang, Xianfeng Zhao

Let be a rooted, countable infinite tree without terminal vertices. In the present paper, we characterize the spectra, self-adjointness and positivity of Toeplitz operators on…

math.FA2021

Toeplitz algebras over Fock and Bergman spaces

Shengkun Wu, Xianfeng Zhao

In this paper, we study Toeplitz algebras generated by certain class of Toeplitz operators on the -Fock space and the -Bergman space with . Let BUC()…

math.FA2020

Essentially commuting dual truncated Toeplitz operators

Chongchao Wang, Xianfeng Zhao, Dechao Zheng

In this paper, we completely characterize when two dual truncated Toeplitz operators are essentially commuting and when the semicommutator of two dual truncated Toeplitz operators…

math.FA2020★ 1 cited

The spectral picture of Bergman Toeplitz operators with harmonic polynomial symbols

Kunyu Guo, Xianfeng Zhao, Dechao Zheng

In this paper, it is shown that some new phenomenon related to the spectra of Toeplitz operators with bounded harmonic symbols on the Bergman space. On the one hand, we prove that…

math.FA2016★ 4 cited

Toeplitz operators on the weighted harmonic Bergman spaces

Zipeng Wang, Xianfeng Zhao

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 obtaine…