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Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces

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Abstract Necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on local Morrey-type spaces are obtained and sharp constants are also given. As applications, we generalize our results… Click to show full abstract

Abstract Necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on local Morrey-type spaces are obtained and sharp constants are also given. As applications, we generalize our results to some concrete operators derived from Hausdorff operators, such as the Hardy operator and its dual operator, the weighted Hardy–Littlewood average, among others.

Keywords: hausdorff operators; operators local; multilinear hausdorff; morrey type; local morrey; hausdorff

Journal Title: Forum Mathematicum
Year Published: 2023

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