Hardy Operators and Commutators on Weighted Herz Spaces

Hardy Operators and Commutators on Weighted Herz Spaces

Year:    2023

Author:    Jingling Hu, Yangke Peng, Wenming Li

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 178–190

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2021-0013

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 178–190

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Hardy operator commutator $CMO $ weighted Herz space.

Author Details

Jingling Hu

Yangke Peng

Wenming Li