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weighted composition operators on extended analytic lipschitz algebras
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نویسنده
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barzegari rezvan ,alimohammadi davood
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منبع
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international journal of nonlinear analysis and applications - 2025 - دوره : 16 - شماره : 8 - صفحه:121 -134
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چکیده
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In this paper, we study weighted composition operators on extended analytic lipschitz algebras lipa(x,k, α) where x is a compact plane set, k is a closed subset of x with nonempty interior and 0 < α ≤ 1. we first give necessary conditions and sufficient conditions on a function u ∈ cx and self-map φ of x for which t = ucφ to be a weighted composition operator on lipa(x,k, α). we next give the necessary conditions for these operators to be compact and provide some sufficient conditions for the compactness of such operators.
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کلیدواژه
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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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آدرس
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arak university, faculty of science, department of mathematics, iran, arak university, faculty of science, department of mathematics, iran
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پست الکترونیکی
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d-alimohammadi@araku.ac.ir
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Authors
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