TY - JOUR
T1 - Some $p$-Adic Hardy Operators and Their Commutators
AU - Zhang , Xizheng
AU - Li , Xiang
AU - Yan , Dunyan
JO - Journal of Mathematical Study
VL - 3
SP - 380
EP - 406
PY - 2025
DA - 2025/09
SN - 58
DO - http://doi.org/10.4208/jms.v58n3.25.08
UR - https://global-sci.org/intro/article_detail/jms/24414.html
KW - $p$-adic weighted Hardy operator, Generalized $p$-adic Hardy operator, Commutator.
AB - <p style="text-align: justify;">In this paper, we will study the sharp estimates of $p$-adic weighted Hardy
operator on central and noncentral weighted $p$-adic Morrey spaces. Moreover, we
can obtain the sharp bound of generalized $p$-adic Hardy operator. In addition, the
commutator that is generated by the generalized $p$-adic Hardy operator and the central
BMO function is also bounded on $p$-adic Morrey spaces.</p>