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We obtain criteria for the boundedness and compactness of weighted composition operators between different Fock spaces in $\mathbb{C}^n$. We also give estimates for essential norm of these operators.

复变函数 · 数学 2018-01-26 Pham Trong Tien , Le Hai Khoi

We give different types of new characterizations for the boundedness and essential norms of generalized weighted composition operators between Zygmund type spaces. Consequently, we obtain new characterizations for the compactness of such…

泛函分析 · 数学 2019-04-01 Mostafa Hassanlou , Amir H. Sanatpour

The boundedness and compactness of weighted composition operators from $H^\infty$ to the Bloch space in the unit ball of Cn are investigated in this paper. In particular, some new characterizations for the boundedness and the essential norm…

复变函数 · 数学 2018-01-08 Juntao Du , Songxiao Li

We study some important topological properties such as boundedness, compactness and essential norm of differences of weighted composition operators between Fock spaces

泛函分析 · 数学 2017-08-24 Pham Trong Tien , Le Hai Khoi

We found several new equivalent characterizations for the boundedness and compactness of the differences of weighted differentiation composition operators from Bloch-type space to weighted-type space. Especially, we estimated its essential…

泛函分析 · 数学 2016-10-07 Yu-Xia Liang

We obtain some estimates for norm and essential norm of the difference of two composition operators between weighted Bergman spaces $A^p_\alpha$ and $A^q_\beta$ on the unit ball. In particular, we completely characterize the boundedness and…

复变函数 · 数学 2019-03-05 Yecheng Shi , Songxiao Li , Juntao Du

In this paper, we give two new characterizations for the boundedness and compactness of the difference of two weighted composition operators acting from $H^\infty$ to the Bloch space.

复变函数 · 数学 2017-12-12 Yecheng Shi , Songxiao Li , Xiangling Zhu

We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete…

复变函数 · 数学 2017-04-13 Pham Trong Tien , Le Hai Khoi

We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on…

复变函数 · 数学 2015-11-20 Xiaosong Liu , Songxiao Li

In this paper, we characterize the boundedness and compactness of differences of weighted composition operators from weighted Bergman spaces $A^p_\omega$ induced by a doubling weight $\omega$ to Lebesgue spaces $L^q_\mu$ on the unit ball…

复变函数 · 数学 2024-07-23 Lian Hu , Songxiao Li , Yecheng Shi

In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.

复变函数 · 数学 2015-09-07 Songxiao Li , Ruishen Qian , Jizhen Zhou

In this paper, we obtain the essential norm estimate for the difference of two weighted composition operators acting on standard weighted Bergman spaces over the unit ball. And we get some characterizations for the difference of weighted…

泛函分析 · 数学 2025-07-29 Xiaohe Hu , Zicong Yang

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 weighted Bergman spaces over the unit disk in terms of Carleson…

泛函分析 · 数学 2025-07-21 Cezhong Tong , Zicong Yang , Zehua Zhou

In this paper, we give some estimates for the norm and essential norm of the differences of two composition operators between different Hardy spaces.

复变函数 · 数学 2017-12-18 Yecheng Shi , Songxiao Li

While there have been extensive studies regarding the theory of composition operators in standard Bergman spaces, there have not been many results pertaining to large Bergman spaces due to a lack of useful tools. In this paper, we give the…

泛函分析 · 数学 2019-09-23 Inyoung Park

We give embedding theorems for weighted Bergman-Orlicz spaces on the ball and then apply our results to the study of composition operators in this context. As one of the motivations of this work, we show that there exist some weighted…

泛函分析 · 数学 2010-12-06 Stéphane Charpentier

In this paper, some characterizations for the compact difference of composition operators on Bergman spaces $A^p_\omega$ with doubling weight are given, which extend Moorhouse's characterization for the difference of composition operators…

复变函数 · 数学 2020-06-09 Yecheng Shi , Songxiao Li

It is shown that a large class of properties coincide for weighted composition operators on a large class of weighted VMOA spaces, including the ones with logarithmic weights and the ones with standard weights $(1-|z|)^{-c}, \ 0\leq c<…

泛函分析 · 数学 2025-04-16 David Norrbo

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

泛函分析 · 数学 2025-07-29 Jiaoye Du , Cezhong Tong , Zicong Yang

In this paper, we study the boundedness and compactness of the differences of two weighted composition operators acting from $\alpha$-Bloch space to $\beta$-Bloch space on the open unit disk. This study has a relationship to the topological…

复变函数 · 数学 2020-04-06 Ning Xu , Ze-Hua Zhou
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