Weighted Estimates for Multivariate Hausdorff Operators

Weighted Estimates for Multivariate Hausdorff Operators

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.