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Related papers: Ascent and Descent of Composition Operators on Orl…

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

Functional Analysis · Mathematics 2016-11-04 Ratan Kr. Giri , Shesadev Pradhan

The aim of this article is to detect the ascent and descent of weighted composition operators on Lorentz spaces. We investigate the conditions on the measurable transformation $T$ and the complex-valued measurable function $u$ defined on…

Functional Analysis · Mathematics 2024-04-26 Gopal Datt , Daljeet Singh Bajaj

The kernel of composition operator $C_T$ on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator $C_T$ has been established. Composition operators on…

Functional Analysis · Mathematics 2016-01-27 Ratan Kumar Giri , Debajyoti Choudhuri

In this paper, we investige the concept of expansivity for composition operators on Orlicz-Lorentz spaces. We study necessary and sufficient conditions for expansivity, positive expansivity and uniformly expansivity for composition…

Functional Analysis · Mathematics 2022-10-04 Romesh Kumar , Rajat Singh

In this paper we are concerned with weighted conditional type(WCT) operators on Orlicz spaces. We prove that all WCT operators have finite ascent. Also, we provide some sufficient conditions for WCT operators to have finite descent. As a…

Functional Analysis · Mathematics 2023-05-17 S. Nojoumi , S. Shamsigamchi

The notions of expansivity and positive expansivity for composition operators on Orlicz spaces are investigated. In particular, necessary and sufficient conditions are given for a composition operator to be expansive, positively expansive,…

Functional Analysis · Mathematics 2024-01-23 Z. Huang , Y. Estaremi

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…

Functional Analysis · Mathematics 2024-09-18 Naoya Hatano , Masahiro Ikeda , Ryota Kawasumi

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…

Functional Analysis · Mathematics 2022-11-16 M. Namdar Baboli , Y. Estaremi

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,…

Functional Analysis · Mathematics 2024-04-16 Masahiro Ikeda , Isao Ishikawa , Ryota Kawasumi

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…

Functional Analysis · Mathematics 2010-12-06 Stéphane Charpentier

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

Functional Analysis · Mathematics 2015-06-02 Y. Estaremi , S. Maghsodi , I. Rahmani

In the present paper we provide some equivalent conditions for composition operators to have shadowing property on Orlicz space. Also, we obtain that for the composition operators on Orlicz spaces the notions of generalized hyperbolicity…

Functional Analysis · Mathematics 2023-06-19 Yousef Estaremi

We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function $\Psi$ grows rapidly: compactness, weak compactness, to be $p$-summing, order bounded,..., and show how these notions behave according to the growth of…

Functional Analysis · Mathematics 2007-05-23 Pascal Lefèvre , Daniel Li , Hervé Queffélec , Luis Rodriguez-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.

Functional Analysis · Mathematics 2020-12-08 Emma D'Aniello , Martina Maiuriello

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

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.

Functional Analysis · Mathematics 2021-05-27 Nikita Evseev

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…

Functional Analysis · Mathematics 2022-08-02 Romesh Kumar , Rajat Singh

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

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…

Complex Variables · Mathematics 2023-12-11 Shaolin Chen , Hidetaka Hamada
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