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عنوان
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Weighted composition operators on extended analytic Lipschitz algebras
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Extended analytic Lipschitz algebra, Analytic uniform algebra, Banach function algebra, Compact operator, Composition operator, Weighted composition operator
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چکیده
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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
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پژوهشگران
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داود علیمحمدی (نفر دوم)، رضوان برزگری (نفر اول)
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