Volume 28, Issue 3
Weighted Estimates for Multivariate Hausdorff Operators

Yanling Sun and Yinsheng Jiang

10.3969/j.issn.1672-4070.2012.03.008

Anal. Theory Appl., 28 (2012), pp. 278-285

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  • Abstract

In this paper, some weighted estimates for the multivariate Hausdorff operatorsare obtained. It is proved that themultivariateHausdorff operators are bounded on L^p spaceswith power weights, which is based on the boundedness of multivariate Hausdorff operatorson Herz spaces, and are bounded on weighted L^p spaces with the weights satisfying thehomogeneity of degree zero.

  • History

Published online: 2012-10

  • AMS Subject Headings

42B25, 42B35

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