TY - JOUR
T1 - Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators
AU - Li , Liang
AU - Xiong , Chunyan
AU - Jiang , Zhou
JO - Communications in Mathematical Research 
VL - 2
SP - 131
EP - 140
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.02.04
UR - https://global-sci.org/intro/article_detail/cmr/18936.html
KW - commutator, the $p$-adic Hardy operator, Lipschitz function, Herz space.
AB - <p style="text-align: justify;">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&nbsp;operator is also considered.</p>