TY - JOUR
T1 - Hardy Operators and Commutators on Weighted Herz Spaces
AU - Hu , Jingling
AU - Peng , Yangke
AU - Li , Wenming
JO - Analysis in Theory and Applications
VL - 2
SP - 178
EP - 190
PY - 2023
DA - 2023/06
SN - 39
DO - http://doi.org/10.4208/ata.OA-2021-0013
UR - https://global-sci.org/intro/article_detail/ata/21822.html
KW - Hardy operator, commutator, $CMO,$ weighted Herz space.
AB - <p style="text-align: justify;">Let $P$ be the classical Hardy operator on $(0, ∞)$ and $Q$ be the adjoint operator. In this paper, we get the boundedness for $P,$ $Q$ and the commutators of $P$ and $Q$ with $CMO$ functions on the weighted Herz spaces.</p>