2 papers
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…
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…