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Weighted Estimates for Maximal Operators, Riesz Potential Operators and Commutators on p-Adic Lebesgue and Morrey Spaces
p-Adic Numbers, Ultrametric Analysis and Applications Pub Date : 2019-04-01 , DOI: 10.1134/s2070046619020031
Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, we establish the boundedness of p-adic Hardy-Littlewood maximal operators and p-adic Riesz potential operators on the weighted Lebsegue and Morrey spaces. Moreover, the boundedness for the commutators of p-adic Riesz potential operators on the weighted Morrey spaces with symbols in central BMO space is also given.

中文翻译:

p-Adic Lebesgue 和 Morrey 空间上极大算子、Riesz 势算子和换向子的加权估计

在本文中,我们建立了加权 Lebsegue 和 Morrey 空间上 p-adic Hardy-Littlewood 极大算子和 p-adic Riesz 势算子的有界性。此外,还给出了带符号的加权Morrey空间上的p-adic Riesz势算子的交换子的有界性。
更新日期:2019-04-01
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