Weighted multilinear p-adic Hardy operators and commutators

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.

Keywords

• p-adic fields
• hardy operators
• weighted multilinear operators
• sharp bounds
• central morrey spaces
• commutators
• 42b25
• 42b35
• 46b25