Cezhong Tong

activity

20242026

collaborators

6 papers

math.FA2026

Weighted Cesàro type operators on the weighted Bergman spaces in the unit ball

Jiaxin Pan, Cezhong Tong, Zicong Yang

In this paper, we study weighted Cesàro type operators \[ \mathcal C_{μ,β}^ξ:A_α^{p}(\mathbb B_n) \longrightarrow A_α^{q}(\mathbb B_n) \] induced by measures on $[0, 1)$ , and obtain…

math.CV2025

Bergman Projections, Kernel $p$ -Norm Estimates, and Toeplitz Operators with Békollé and Bonami weights

Hicham Arroussi, Jari Taskinen, Cezhong Tong +1

In this paper, we establish entirely new $p$ -norm estimates for reproducing kernels to characterize the bounded and compact Toeplitz operators $T_{μ}$ acting between weighted Békollé…

math.FA2025

Toeplitz operators and weighted composition operators on variable exponent Bergman spaces

Cezhong Tong, Zicong Yang, Zehua Zhou

In a recent paper [JFA, 278 (2020), 108401], Choe et al. obtained characterizations for bounded and compact differences of two weighted composition operators acting on standard wei…

math.FA2025

Difference of weighted composition operators between some spaces of analytic function spaces

Jiaoye Du, Cezhong Tong, Zicong Yang

We first obtain a simpler proof of the main results in [IEOT, {\bf 93}(2021), 17], which characterized the bounded and compact differences $C_{u, φ} - C_{v, ψ}$ of two weighted composi…

math.CV2024

A new class of Carleson measures and integral operators on Bergman spaces

Hicham Arroussi, Huijie Liu, Cezhong Tong +1

Let $n$ be a positive integer and $g = (g_{0}, g_{1}, \dots, g_{n - 1})$ , with $g_{k} \in H (D)$ for $k = 0, 1, \dots, n - 1$ . Let $I_{g}^{(n)}$ be the generalized Volterra-…

math.FA2024

Generalized Volterra-type integral operators between Bloch-type spaces

Cezhong Tong, Xin He, Zicong Yang

The Volterra-type integral operator plays an essential role in modern complex analysis and operator theory. Recently, Chalmoukis \cite{Cn} introduced a generalized integral operato…