TY - JOUR
T1 - Weighted Estimates for Multivariate Hausdorff Operators
JO - Analysis in Theory and Applications
VL - 3
SP - 278
EP - 285
PY - 2012
DA - 2012/10
SN - 28
DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.008
UR - https://global-sci.org/intro/article_detail/ata/4563.html
KW - multivariate Hausdorff operator, weighted $L^p$ space, Herz space.
AB - <p style="text-align: justify;">In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on $L^p$ spaces with power weights, which is based on the boundedness of multivariate Hausdorff operators on Herz spaces, and are bounded on weighted $L^p$ spaces with the weights satisfying the homogeneity of degree zero.</p>