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

Authors

  • Liang Li
  • Chunyan Xiong
  • Zhou Jiang

DOI:

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

Keywords:

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

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.

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Published

2021-05-14

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Issue

Vol. 31 No. 2 (2015)

Section

Articles

How to Cite

Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators. (2021). Communications in Mathematical Research, 31(2), 131-140. https://doi.org/10.13447/j.1674-5647.2015.02.04