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(L^p, L^q)-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces

(L^p, L^q)-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces
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摘要 In this paper, we prove the (L^p, L^q)-boundedness of (fractional) Hausdorff operators with power weight on Euclidean spaces. As special cases, we can obtain some well known results about Hardy operators. In this paper, we prove the (L^p, L^q)-boundedness of (fractional) Hausdorff operators with power weight on Euclidean spaces. As special cases, we can obtain some well known results about Hardy operators.
出处 《Analysis in Theory and Applications》 CSCD 2015年第2期101-108,共8页 分析理论与应用(英文刊)
基金 supported by Research Foundation of Hangzhou Dianzi University(No.KYS075614051) PRSF of Zhejiang(No.BSH1302046) NSFC(No.11271330)
关键词 Hausdorff operator Hardy operator Cesaro operator Young's inequality. Hausdorff operator, Hardy operator, Cesaro operator, Young's inequality.
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