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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

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

In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. Then by using…

泛函分析 · 数学 2018-12-27 Y. Estaremi , S. Esmaili , A. Ebadian

In this paper we characterize essential norm of composition operators on the spaces of Harmonic Bloch functions. These results extends the similar results that were proven for composition operators on Bloch spaces.

泛函分析 · 数学 2022-02-10 Y. Estaremi , S. Esmaeili , A. Ebadian

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

In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in $\mathbb{C}^n$ with particular emphasis on the issues of boundedness and compactness. We also…

复变函数 · 数学 2022-07-26 Robert F. Allen , Flavia Colonna

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 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

Let $u$ be a holomorphic function and $\varphi$ a holomorphic self-map of the open unit disk $\mathbb{D}$ in the complex plane. We give some new characterizations for the boundedness of the weighted composition operators $uC_{\varphi}$ from…

泛函分析 · 数学 2014-01-03 Yu-Xia Liang , Ze-Hua Zhou

In this paper, a new characterization is provided for the boundedness, compactness and essential norm of the difference of two weighted composition operators on weighted-type spaces in the unit ball of $\mathbb{C}^n$.

复变函数 · 数学 2018-04-12 Bingyang Hu , Songxiao Li

In this article, we estimate the essential norm of weighted composition operator $W_{u, \varphi}$, acting on the logarithmic Bloch space $\mathcal{B}^{v_{\log}}$, in terms of the $n$-power of the analytic function $\varphi$ and the norm of…

泛函分析 · 数学 2014-09-12 María T. Malavé-RamiÍrez , Julio C. Ramos-Fernández

We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded…

泛函分析 · 数学 2022-08-04 Robert F. Allen

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

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

In this paper, the order boundedness and essential norm of generalized weighted composition operators on Bergman spaces with doubling weights are characterized. Specially, we estimate the essential norm of these operators on weighted…

复变函数 · 数学 2023-09-19 Zuoling Liu

We establish necessary and sufficient conditions for the boundedness and compactness of weighted composition operators acting on weighted Dirichlet spaces and determine the spectrum of a certain class of such operators. Our results extend…

泛函分析 · 数学 2026-02-10 Anirban Sen

We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and the essential norm. In addition, we study the isometric…

泛函分析 · 数学 2022-07-26 Robert F. Allen , Matthew A. Pons

We present the current results in the study of weighted composition operators on weighted Banach spaces of an unbounded, locally finite metric space. Specifically, we determine characterizations of bounded and compact weighted composition…

泛函分析 · 数学 2022-07-28 Robert F. Allen , Matthew A. Pons

The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the…

复变函数 · 数学 2023-12-11 Shaolin Chen , Hidetaka Hamada

We study boundedness and compactness of composition operators on weighted Bergman spaces of Dirichlet series. Particularly, we obtain in some specific cases, upper and lower bounds of the essential norm of these operators and a criterion of…

泛函分析 · 数学 2014-01-30 Maxime Bailleul
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