2025/12/5
Davood Alimohammadi

Davood Alimohammadi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-9398-6213
Education: PhD.
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Faculty: Science
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E-mail: D-Alimohammadi [at] araku.ac.ir
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Research

Title
Weighted composition operators on extended analytic Lipschitz algebras
Type
JournalPaper
Keywords
Extended analytic Lipschitz algebra, Analytic uniform algebra, Banach function algebra, Compact operator, Composition operator, Weighted composition operator
Year
2025
Journal International Journal of Nonlinear Analysis and Applications
DOI
Researchers Rezvan Barzegari ، Davood Alimohammadi

Abstract

‎In this paper‎, ‎we study weighted composition operators on extended analytic Lipschitz algebras ${\rm Lip}_{A}(X,K,\alpha)$ where $X$ is a compact plane set‎, ‎$K$ is a closed subset of $X$ with nonempty interior and $0 < \alpha \leq 1$‎. ‎We first give necessary conditions and sufficient conditions on a function $u \in \mathbb{C} ^{X}$ and self map $\varphi$ of $X$ for which $T=uc_{\varphi}$ to be a weighted composition operator on ${\rm Lip}_{A}(X,K,\alpha)$‎. ‎We next give necessary conditions for these operators to be compact and provide some sufficient conditions for the compactness of such operators‎. d