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 - <p style="text-align: justify;">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.</p>