Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators

Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators

Year:    2015

Author:    Liang Li, Chunyan Xiong, Zhou Jiang

Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 131–140

Abstract

In this paper, the boundedness of commutators generated by the $n$-dimensional fractional Hardy operators and Lipschitz functions on $p$-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy-Littlewood-Polyá operator is also considered.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.02.04

Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 131–140

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    commutator the $p$-adic Hardy operator Lipschitz function Herz space.

Author Details

Liang Li

Chunyan Xiong

Zhou Jiang