3 papers
math.FA2026
Localization operators on Bergman and Fock spaces
Pan Ma, Fugang Yan, Dechao Zheng +1
We introduce localization operators on weighted Bergman and Fock spaces and show that, under a natural scaling of symbols and window functions, localization operators on the weight…
math.FA2025
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.OA2024
Multiplication operators on the Bergman space of bounded domains in C^d
Hansong Huang, Dechao Zheng
In this paper we study multiplication operators on Bergman spaces of high dimensional bounded domains and those von Neumann algebras induced by them via the geometry of domains and…