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Mohammad Reza Azimi

Mohammad Reza Azimi

Academic rank: Associate Professor
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Education: PhD.
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Research

Title
Dynamics of weighted translations on Orlicz spaces
Type
Presentation
Keywords
Hypercyclic, Weighted translation, Locally compact group, Orlicz space.
Year
2019
Researchers Mohammad Reza Azimi ،

Abstract

In this paper, we study the hypercyclicity of the weighted translation $C_{u,g}$ defined on Orlicz space $L^{\Phi}(G)$ where $G$ is a locally compact group, $g\in G$ and $u$ is a weight function on $G$. The necessary and sufficient conditions are given in such a way that $C_{u,g}$ and its adjoint to be hypercyclic whenever $g\in G$ is an aperiodic element.