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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.FA2024
The Douglas question on the Bergman and Fock spaces
Jian-hua Chen, Qianrui Leng, Xianfeng Zhao
Let be a positive Borel measure and be the bounded Toeplitz operator induced by on the Bergman or Fock space. In this paper, we mainly investigate the invertibility o…