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Fractional Integration in Weighted Lebesgue Spaces
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2021-05-12 , DOI: 10.3103/s1068362321020023 K. Avetisyan
中文翻译:
加权Lebesgue空间的分数积分。
更新日期:2021-05-12
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2021-05-12 , DOI: 10.3103/s1068362321020023 K. Avetisyan
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:
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。