6 papers · 1 filter
Volterra operators on the BMOA space of Dirichlet series
Cezhong Tong, Maofa Wang, Zixing Yuan
In this paper, we completely characterize the boundedness and compactness of Volterra operators on \(BMOA_{\mathcal D}\), the BMOA space of Dirichlet series, and estimate their ess…
Cesàro-type operators on average radial integrability spaces induced by doubling weights
Jiaxin Pan, Cezhong Tong, Zixing Yuan
In this paper, we study the Cesàro-type operator $$ \Ces_{μ,β}f(z)=\int_{[0,1)}\frac{f(tz)}{(1-tz)^β}\,dμ(t), $$ where \(μ\) is a positive Borel measure on \([0,1)\) and \(β>0\). F…
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 , and obtain…
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…
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 of two weighted composi…
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…