Weighted Estimates for Maximal Operators, Riesz Potential Operators and Commutators on  p -Adic Lebesgue and Morrey Spaces

Nguyen Minh Chuong; Dao Van Duong; Kieu Huu Dung

doi:10.1134/S2070046619020031

Weighted Estimates for Maximal Operators, Riesz Potential Operators and Commutators on p-Adic Lebesgue and Morrey Spaces

Authors: Chuong N.M.¹, Duong D.V.², Dung K.H.²
Affiliations:
1. Institute of mathematics
2. School of Mathematics
Issue: Vol 11, No 2 (2019)
Pages: 123-134
Section: Research Articles
URL: https://journals.rcsi.science/2070-0466/article/view/201179
DOI: https://doi.org/10.1134/S2070046619020031
ID: 201179

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Abstract

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.