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

G. L. Gao & A. Hussain

doi:10.4208/ata.2015.v31.n2.1

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

Authors

G. L. Gao & A. Hussain

DOI:

https://doi.org/10.4208/ata.2015.v31.n2.1

Keywords:

Hausdorff operator, Hardy operator, Cesàro operator, Young's inequality.

Abstract

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.

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Published

2017-04-02

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Issue

Vol. 31 No. 2 (2015)

Section

Articles

How to Cite

$(L^p,L^q)$-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces. (2017). Analysis in Theory and Applications, 31(2), 101-108. https://doi.org/10.4208/ata.2015.v31.n2.1