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相关论文: Composition Operators on Haagerup $L^p$-spaces

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In this paper, we investigate Li-Yorke composition operators and some of their variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces. The work of the paper is essentially based on the work in…

泛函分析 · 数学 2022-08-02 Romesh Kumar , Rajat Singh

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 $\le$ p \textless{} $\infty$.

泛函分析 · 数学 2015-02-24 Daniel Li , Hervé Queffélec , Luis Rodríguez-Piazza

We investigate some types of composition operators, linear and not, and conditions for some spaces to be mapped into themselves and for the operators to satisfy some good properties.

泛函分析 · 数学 2020-12-08 Emma D'Aniello , Martina Maiuriello

This paper seeks to extend the theory of composition operators on analytic functional Hilbert spaces from analytic symbols to quasiconformal ones. The focus is the boundedness but operator-theoretic questions are discussed as well. In…

泛函分析 · 数学 2018-04-17 Xiang Fang , Kunyu Guo , Zipeng Wang

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…

We explicitly describe the Haagerup and the Kosaki non-commutative $L^p$-spaces associated with a tensor product von Neumann algebra $M_1\bar{\otimes}M_2$ in terms of those associated with $M_i$ and usual tensor products of unbounded…

算子代数 · 数学 2024-07-09 Shinya Kato , Yoshimichi Ueda

In this paper, we study the boundedness, compactness and Schatten class membership of composition operators on the weighted $L^{p}$-space of a tree $L^{p}_{\lambda}(T)$ with $1\leq p <\infty$.

泛函分析 · 数学 2023-03-21 Han Xu , Xiaoyan Zhang

The notion of decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator, in sense that a mapping is replaced by a binary relation.…

泛函分析 · 数学 2024-11-26 Nikita Evseev , Alexander Menovschikov

In this paper we discuss applications of the geometric theory of composition operators on Sobolev spaces to the spectral theory of non-linear elliptic operators. The lower estimates of the first non-trivial Neumann eigenvalues of the…

偏微分方程分析 · 数学 2018-02-01 V. Gol'dshtein , A. Ukhlov

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

We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of…

动力系统 · 数学 2025-12-09 Nilson C. Bernardes , Antonio Bonilla , João V. A. Pinto

The boundedness (continuity) of composition operators from some function space to another one is significant, though there are few results about this problem. Thus, in this study, we provide necessary and sufficient conditions on the…

泛函分析 · 数学 2024-09-18 Naoya Hatano , Masahiro Ikeda , 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 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

In this paper we initiate the study of composition operators on the noncommutative Hardy space $H^2_{\bf ball}$. Several classical results about composition operators (boundedness, norm estimates, spectral properties, compactness,…

泛函分析 · 数学 2011-11-15 Gelu Popescu

We show that noncommutative $L_p$-spaces satisfy the axioms of the (nonunital) operator system with a dominating constant $2^{1 \over p}$. Therefore, noncommutative $L_p$-spaces can be embedded into $B(H)$ $2^{1 \over p}$-completely…

算子代数 · 数学 2009-06-28 Kyung Hoon Han

In this paper we consider composition operator generated by nonsingular measurable transformation between two different Grand Lebesgue Spaces (GLS); we investigate the boundedness, compactness and essential norm of composition operators.

泛函分析 · 数学 2013-08-09 E. Ostrovsky , L. Sirota

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.

泛函分析 · 数学 2022-02-15 Y. Estaremi , A. Ebadian , S. Esmaeili

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

In \cite{CO-Tp-spaces}, the present authors initiated the study of composition operators on discrete analogue of generalized Hardy space $\mathbb{T}_{p}$ defined on a homogeneous rooted tree. In this article, we give equivalent conditions…

复变函数 · 数学 2020-04-08 Perumal Muthukumar , Saminathan Ponnusamy
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