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Weighted multilinearp-adic Hardy operators and commutators

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Liu R., Zhou J.

Open Mathematics

2017

tom 15

nr 1

1623-1634

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.

Ograniczanie wyników

1 Open Mathematics

1 Liu R.

1 Zhou J.

1 2017

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Weighted multilinearp-adic Hardy operators and commutators