@Article{ATA-28-278, author = {}, title = {Weighted Estimates for Multivariate Hausdorff Operators}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {3}, pages = {278--285}, abstract = {

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.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.03.008}, url = {http://global-sci.org/intro/article_detail/ata/4563.html} }