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Volume 58, Issue 3
Some $p$-Adic Hardy Operators and Their Commutators

Xizheng Zhang, Xiang Li & Dunyan Yan

DOI: 10.4208/jms.v58n3.25.08

J. Math. Study, 58 (2025), pp. 380-406.

Published online: 2025-09

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  • Abstract

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.

  • Keywords

$p$-adic weighted Hardy operator, Generalized $p$-adic Hardy operator, Commutator.

  • AMS Subject Headings

42-02, 47-02

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JMS-58-380, author = {Zhang , XizhengLi , Xiang and Yan , Dunyan}, title = {Some $p$-Adic Hardy Operators and Their Commutators}, journal = {Journal of Mathematical Study}, year = {2025}, volume = {58}, number = {3}, pages = {380--406}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n3.25.08}, url = {http://global-sci.org/intro/article_detail/jms/24414.html} }
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 -

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.

Zhang , XizhengLi , Xiang and Yan , Dunyan. (2025). Some $p$-Adic Hardy Operators and Their Commutators. Journal of Mathematical Study. 58 (3). 380-406. doi:10.4208/jms.v58n3.25.08
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