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Bounded operators on mixed norm Lebesgue spaces
Published 7 Nov 2017 in math.FA and math.CA | (1711.02453v2)
Abstract: We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given. For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy-Steklov type operators.
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