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In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further,…

泛函分析 · 数学 2024-04-16 Masahiro Ikeda , Isao Ishikawa , Ryota Kawasumi

We study a composition operator on Lorentz spaces. In particular we provide necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator.

泛函分析 · 数学 2021-05-27 Nikita Evseev

In this paper we deal with unbounded composition operators defined in Orlicz spaces. Indeed, we provide some necessary and sufficient condition for densely definedness of composition operators on Orlicz spaces. Also, we will investigate the…

泛函分析 · 数学 2022-11-16 M. Namdar Baboli , Y. Estaremi

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 study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the…

泛函分析 · 数学 2020-08-31 Naoya Hatano , Masahiro Ikeda , Isao Ishikawa , Yoshihiro Sawano

In this paper, we study bounded and closed range multiplication and composition operators between two different Orlicz spaces.

泛函分析 · 数学 2015-06-02 Y. Estaremi , S. Maghsodi , I. Rahmani

This paper aims to characterize boundedness of composition operators on Besov spaces $B^s_{p,q}$ of higher order derivatives $s>1+1/p$ on the one-dimensional Euclidean space. In contrast to the lower order case $0<s<1$, there were a few…

泛函分析 · 数学 2023-05-04 Masahiro Ikeda , Isao Ishikawa , Koichi Taniguchi

The aim of this paper is to discuss the characterizations of the composition operators on Orlicz-Lorentz space to have finite ascent (or descent).

泛函分析 · 数学 2023-07-24 Neha Bhatia , Anuradha Gupta

We study the weighted composition operators between the Lipschitz space and the space of bounded functions on the set of vertices of an infinite tree. We characterized the boundedness, the compactness, and the boundedness from below of…

泛函分析 · 数学 2019-02-28 Takuya Hosokawa

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…

复变函数 · 数学 2025-09-03 Jie Huang , Suman Das , Antti Rasila

The aim of this paper is to give the answer to the problem of characterization of acting conditions (necessary as well as sufficient) for composition operators in some sequence spaces. We also characterize their boundedness and local…

经典分析与常微分方程 · 数学 2024-07-22 Daria Bugajewska , Piotr Kasprzak

We establish necessary and sufficient conditions for boundedness of composition operators on the most general class of Hilbert spaces of entire Dirichlet series with real frequencies. Depending on whether or not the space contains any…

复变函数 · 数学 2017-10-11 Minh Luan Doan , Le Hai Khoi

Here, the composition operators on Orlicz spaces with finite ascent and descent as well as infinite ascent and descent are characterized.

泛函分析 · 数学 2016-11-04 Ratan Kr. Giri , Shesadev Pradhan

This paper aims to study the boundedness and compactness of composition operators from model spaces to the Hardy Hilbert spaces in the upper half-plane. Consequently, we investigate the boundedness and compactness of composition operators…

泛函分析 · 数学 2026-05-13 Bharti Garg , Subhankar Mahapatra , Santanu Sarkar

In this note, we consider a class of composition operators on Lebesgue spaces with variable exponents over metric measure spaces. Taking advantage of the compatibility between the metric-measurable structure and the regularity properties of…

泛函分析 · 数学 2025-02-04 Javier Henríquez-Amador , Carlos F. Álvarez

We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$. The last ones are connected with Hardy-Orlicz and…

泛函分析 · 数学 2012-01-04 Pascal Lefèvre , Daniel Li , Hervé Queffélec , Luis Rodriguez-Piazza

Continuing the study initiated in our earlier article [7], this paper aims to characterize various continuity properties of nonlinear composition operators acting on some sequence spaces, giving special attention to the space of sequences…

泛函分析 · 数学 2025-05-13 Daria Bugajewska , Piotr Kasprzak

In this paper we consider composition operator $C_{\varphi} generated by nonsingular measurable transformation $T$ and multiplication operator $M_u$ generated by measurable function $u$ between two different Orlicz spaces, then we…

泛函分析 · 数学 2013-10-22 Yousef Estaremi

We study ergodicity of composition operators on rearrangement-invariant Banach function spaces. More precisely, we give a natural and easy-to-check condition on the symbol of the operator which entails mean ergodicity on a very large class…

泛函分析 · 数学 2025-10-15 Thomas Kalmes , Dalimil Peša

We completely characterize the boundedness of the area operators from the Bergman spaces $A^p_\alpha(\mathbb{B}_ n)$ to the Lebesgue spaces $L^q(\mathbb{S}_ n)$ for all $0<p,q<\infty$. For the case $n=1$, some partial results were…

复变函数 · 数学 2021-03-05 Xiaofen Lv , Jordi Pau , Maofa Wang
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