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The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp estimate of the Lipschitz continuity of complex-valued harmonic…

Complex Variables · Mathematics 2022-07-11 Shaolin Chen , Hidetaka Hamada , Jian-Feng Zhu

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…

Functional Analysis · Mathematics 2018-12-27 Y. Estaremi , S. Esmaili , A. Ebadian

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…

Complex Variables · Mathematics 2022-07-26 Robert F. Allen , Flavia Colonna

In this paper we consider composition operators on Harmonic-Bloch type spaces and we compute the spectrum of composition operators. Also, we characterize isometric composition operators on harmonic Bloch type spaces.

Functional Analysis · Mathematics 2022-02-15 Y. Estaremi , A. Ebadian , S. Esmaeili

Let $D$ be a bounded homogeneous domain in $\mathbb{C}^n$. In this paper, we study the bounded and the compact weighted composition operators mapping the Hardy space $H^\infty(D)$ into the Bloch space of $D$. We characterize the bounded…

Functional Analysis · Mathematics 2022-07-26 Robert F. Allen , Flavia Colonna

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…

Complex Variables · Mathematics 2018-01-08 Juntao Du , Songxiao Li

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.

Complex Variables · Mathematics 2015-09-07 Songxiao Li , Ruishen Qian , Jizhen Zhou

The aim of this paper is to study when two composition operators on the Hilbert space of Dirichlet series with square summable coefficients belong to the same component or when their difference is compact. As a corollary we show that if a…

Functional Analysis · Mathematics 2021-09-21 Frédéric Bayart , Maofa Wang , Xingxing Yao

Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are provided, as well as…

Functional Analysis · Mathematics 2017-04-05 Oscar Blasco , Pablo Galindo , Mikael Lindström , Alejandro Miralles

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…

Complex Variables · Mathematics 2015-11-20 Xiaosong Liu , Songxiao Li

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…

Functional Analysis · Mathematics 2022-08-04 Robert F. Allen

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.

Complex Variables · Mathematics 2017-12-12 Yecheng Shi , Songxiao Li , Xiangling Zhu

In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain classes of complex-valued functions. Then we present some…

Complex Variables · Mathematics 2013-12-12 Shaolin Chen , Saminathan Ponnusamy , Antti Rasila

In this paper, we investigate when weighted composition operators acting on Dirichlet spaces $\mathcal{D}(\mathbb{B}_{N})$ are complex symmetric with respect to some special conjugations, and provide some characterizations of Hermitian…

Functional Analysis · Mathematics 2018-12-27 Xiao-He Hu , Zi-Cong Yang , Ze-Hua Zhou

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.

Functional Analysis · Mathematics 2022-02-10 Y. Estaremi , S. Esmaeili , A. Ebadian

In this work, we prove that weak compactness of composition operator on $H^{1}(U^{n})$ coincides with its compactness. We also characterize bounded and compact composition operators on $H^{1}(U^{n}).$\

Complex Variables · Mathematics 2007-05-23 Turgay Bayraktar

The purpose of this paper is to describe the characterization for the compact difference of two composition operators acting between analytic Besov spaces and the weighted little Bloch type space over the unit disk.

Functional Analysis · Mathematics 2020-05-05 Ajay K. Sharma , Sei-Ichiro Ueki

We study the Lipschitz continuity of pluriharmonic Bloch mappings in the unit ball $\mathbb{B}^n$ with respect to the Bergman metric. We apply this to obtain a sufficient condition such that the composition operator on the pluriharmonic…

Complex Variables · Mathematics 2025-09-03 Jie Huang , Suman Das , Antti Rasila

We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series $\HCdos$. We also show how the composition…

Functional Analysis · Mathematics 2019-03-21 Frédéric Bayart , Jaime Castillo-Medina , Domingo García , Manuel Maestre , Pablo Sevilla-Peris

We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces $H^\Psi$: construction of a "slow" Blaschke product giving a non-compact composition operator on $H^\Psi$;…

Functional Analysis · Mathematics 2010-01-20 Pascal Lefèvre , Daniel Li , Hervé Queffélec , Luis Rodriguez-Piazza
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