Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.3969/j.issn.1672-4070.2012.03.008
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 278–285
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: multivariate Hausdorff operator weighted $L^p$ space Herz space.