Affiliation:
1. College of Mathematics and System Sciences, Xinjiang University, 830046, Urumqi, China
Abstract
Abstract
In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces, respectively. Moreover, we establish the boundedness of commutators of the weighted multilinear p-adic Hardy operators on the product of p-adic central Morrey spaces. However, it’s worth mentioning that these results are different from that on Euclidean spaces due to the special structure of the p-adic fields.
Reference40 articles.
1. Explicit constants for Hardy’s inequality with power weight on n-dimensional product spaces;Sci. China Math.,2012
2. Sharp estimates of p-adic Hardy and Hardy-Littlewood-Pólya operators;Acta Math. Sin. (Engl. Ser.),2012
3. Moyennes et quotients de Taylor dans BMO;Bull. Soc. Roy. Sci. Liege.,1984
4. Weighted p-adic Hardy operators and their commutators on p-adic central Morrey spaces;Bull. Malays. Math. Sci. Soc.,2017
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