Weighted multilinearp-adic Hardy operators and commutators

• Autorzy: Ronghui Liu , Jiang Zhou
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

p-adic fields; Hardy operators; Weighted multilinear operators; Sharp bounds; Central Morrey spaces; Commutators

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory
• 46B25: Classical Banach spaces in the general theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1623-1634

Daty

wydano

2017-01-01

otrzymano

2017-06-26

zaakceptowano

2017-11-24

online

2017-12-29

Twórcy

autor

Ronghui Liu

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autor

Jiang Zhou

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0139