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Volume 31, Issue 2
$(L^p,L^q)$-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces

G. L. Gao & A. Hussain

Anal. Theory Appl., 31 (2015), pp. 101-108.

Published online: 2017-04

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  • 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.

  • AMS Subject Headings

42B99, 46E30, 47B38

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-31-101, author = {G. L. Gao and A. Hussain}, title = {$(L^p,L^q)$-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {2}, pages = {101--108}, 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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n2.1}, url = {http://global-sci.org/intro/article_detail/ata/4626.html} }
TY - JOUR T1 - $(L^p,L^q)$-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces AU - G. L. Gao & A. Hussain JO - Analysis in Theory and Applications VL - 2 SP - 101 EP - 108 PY - 2017 DA - 2017/04 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n2.1 UR - https://global-sci.org/intro/article_detail/ata/4626.html KW - Hausdorff operator, Hardy operator, Cesàro operator, Young's inequality. AB -

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.

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