Volume 31, Issue 2
Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators

Commun. Math. Res., 31 (2015), pp. 131-140.

Published online: 2021-05

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• Abstract

In this paper, the boundedness of commutators generated by the $n$-dimensional fractional Hardy operators and Lipschitz functions on $p$-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy-Littlewood-Polyá operator is also considered.

• Keywords

commutator, the $p$-adic Hardy operator, Lipschitz function, Herz space.

42B20, 42B35

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@Article{CMR-31-131, author = {Liang and Li and and 19324 and and Liang Li and Chunyan and Xiong and and 19325 and and Chunyan Xiong and Zhou and Jiang and and 19326 and and Zhou Jiang}, title = {Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {2}, pages = {131--140}, abstract = {

In this paper, the boundedness of commutators generated by the $n$-dimensional fractional Hardy operators and Lipschitz functions on $p$-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy-Littlewood-Polyá operator is also considered.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.04}, url = {http://global-sci.org/intro/article_detail/cmr/18936.html} }
TY - JOUR T1 - Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators AU - Li , Liang AU - Xiong , Chunyan AU - Jiang , Zhou JO - Communications in Mathematical Research VL - 2 SP - 131 EP - 140 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.02.04 UR - https://global-sci.org/intro/article_detail/cmr/18936.html KW - commutator, the $p$-adic Hardy operator, Lipschitz function, Herz space. AB -

In this paper, the boundedness of commutators generated by the $n$-dimensional fractional Hardy operators and Lipschitz functions on $p$-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy-Littlewood-Polyá operator is also considered.

Liang Li, Chunyan Xiong & Jiang Zhou. (2021). Lipschitz Estimates for Commutators of $p$-adic Fractional Hardy Operators. Communications in Mathematical Research . 31 (2). 131-140. doi:10.13447/j.1674-5647.2015.02.04
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