15 citations · 24 across the 13 of their papers we have counts for
13 papers
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…
Trace Formula of Semicommutators
Xiang Tang, Yi Wang, Dechao Zheng
For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with symbols. We generalize thi…
Helton-Howe Trace, Connes-Chern character and Quantization
Xiang Tang, Yi Wang, Dechao Zheng
We study the Helton-Howe trace and the Connes-Chern character for Toeplitz operators on weighted Bergman spaces via the idea of quantization. We prove a local formula for the large…
Toeplitz operators on the Fock space via the Fourier transform
Shengkun Wu, Dechao Zheng
In sprite by Berger-Coburn theorems and their conjecture in \cite{Coburn1994}, we use the Fourier transform to decompose as an infinite sum of Toeplitz operators with symb…
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…
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…