$(L^p,L^q)$-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 = {},
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
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 & A. Hussain. (1970). $(L^p,L^q)$-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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