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Volume 39, Issue 2
Hardy Operators and Commutators on Weighted Herz Spaces

Jingling Hu, Yangke Peng & Wenming Li

Anal. Theory Appl., 39 (2023), pp. 178-190.

Published online: 2023-06

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  • 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.

  • AMS Subject Headings

42B20, 42B25

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COPYRIGHT: © Global Science Press

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@Article{ATA-39-178, author = {Hu , JinglingPeng , Yangke and Li , Wenming}, title = {Hardy Operators and Commutators on Weighted Herz Spaces}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0013}, url = {http://global-sci.org/intro/article_detail/ata/21822.html} }
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 -

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.

Hu , JinglingPeng , Yangke and Li , Wenming. (2023). Hardy Operators and Commutators on Weighted Herz Spaces. Analysis in Theory and Applications. 39 (2). 178-190. doi:10.4208/ata.OA-2021-0013
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