Abstract

The action of the fractional integration operator in weighted Lebesgue classes and mixed-norm spaces is studied in the unit ball from \({\mathbb{R}}^{n}\). Some results of Hardy, Littlewood, and Flett are refined and generalized.

中文翻译：

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加权Lebesgue空间的分数积分。

摘要

在\（{\ mathbb {R}} ^ {n} \）的单位球中研究了分数积分算子在加权Lebesgue类和混合范数空间中的作用。对Hardy，Littlewood和Flett的某些结果进行了完善和概括。