Xing-Tang Dong

activity

20142026

collaborators

5 papers

math.FA2026

Two-parameter Toeplitz-type operators between Fock spaces

Xingtang Dong, Zipeng Wang, Kehe Zhu

We introduce and study a two-parameter family of Toeplitz-type operators $T_{φ}^{(s, t)}$ on the Fock space $F^{p} (C)$ for $0 < p \leq \infty$ . For all $0 < p, q \leq \infty$ we obtain sharp c…

math.FA2022

Canonical integral operators on the Fock space

Xingtang Dong, Kehe Zhu

In this paper we introduce and study a two-parameter family of integral operators on the Fock space $F^{2} (C)$ . We determine exactly when these operators are bounded and when they ar…

math.FA2020

Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms

Xing-Tang Dong, Yong-Xin Gao, Ze-Hua Zhou

The spectrum of a weighted composition operator $C_{ψ, φ}$ who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under th…

math.CV2016

The Fourier and Hilbert transforms under the Bargmann transform

Xing-Tang Dong, Kehe Zhu

There is a canonical unitary transformation from $L^{2} (R)$ onto the Fock space $F^{2}$ , called the Bargmann transform. We study the action of the Bargmann transform on several classi…

math.FA2014

Ranks of Commutators and Generalized Semicommutators of Quasihomogeneous Toeplitz Operators

Xing-Tang Dong, Ze-Hua Zhou

We study the ranks of commutators and generalized semicommutators of Toeplitz operators with quasihomogeneous symbols on both the harmonic Bergman space and the Bergman Space. In p…