Weighted multilinear p-adic Hardy operators and commutators

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 di erent from that on Euclidean spaces due to the special structure of the p-adic elds.

Sharp Bounds for Generalized m -Linear n -Dimensional p -Adic Hardy-Littlewood-Pólya Operator

“…Our results concern the sharp bound for the p-adic Hardy-Littlewood-Pólya operator on the product of weighted p-adic Morrey spaces, which generalizes the results in [17,18]. For more information about the boundedness of some operators on function spaces (including p-adic field), see also [19][20][21][22][23][24][25][26][27].…”

Hardy inequalities on constant-order noncommutative Vilenkin groups

“…In the context of -adic analysis considerable progress on Hardy inequalities has been done during the last 10 years, see [4,6,9,10,11,16,17]. In this note we would like to contribute to such progress in two different ways.…”

Estimates for Commutators of Bilinear Fractionalp-Adic Hardy Operator on Herz-Type Spaces

“…Multilinear operators are studied in the analysis because of their natural appearance in numerous physical phenomenons and their purpose is not merely to generalize the theory of linear operators. We refer articles [35][36][37] for better comprehension of multilinear operators. The m-linear Hardy operator was defined by Fu et al [19] and is given by:…”