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littlewood subordination theorem and composition operators on function spaces with variable exponents
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نویسنده
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morovatpoor ali ,abkar ali
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منبع
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wavelets and linear algebra - 2023 - دوره : 10 - شماره : 1 - صفحه:53 -64
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چکیده
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This study concerns a detailed analysis of composition opera-tors cϕ on the classical bergman spaces, as well as on the hardy and bergman spaces with variable exponents. here, ϕ is an an-alytic self-map of the open unit disk in the complex plane. ac-cordingly, conditions for the boundedness of these operators are obtained. it is worth mentioning that the littlewood subordi-nation theorem plays a fundamental role in proving the stated theorems in which we use the rubio de francia extrapolation theorem.
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کلیدواژه
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variable exponent bergman space ,variable exponent hardy space ,composition operator ,bounded operator
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آدرس
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payame noor university (pnu), faculty of science, department of mathemathics, iran, imam khomeini international university, faculty of science, department of pure mathemathics, iran
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پست الکترونیکی
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abkar@sci.ikiu.ac.ir
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علی مروت پور، گروه ریاضی، دانشکده علوم پایه، دانشگاه پیام نور، تهران ، ایران ، کد پستی4697-19395علی آبکار، گروه ریاضی، دانشکده علوم پایه، دانشگاه بین المللی امام خمینی ،قزوین، 34149
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Authors
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آبکار علی
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Abstract
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علی مروت پور، علی آبکار
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