$(L^p,L^q)$-Boundedness of Hausdorff Operators with Power Weight on Euclidean Spaces
Anal. Theory Appl., 31 (2015), pp. 101-108.
Published online: 2017-04
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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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