Sharp bounds for multilinear Hardy operators on central Morrey spaces with power weights

Meichuan Lv; Wenming Li; Meichuan Lv; Wenming Li

doi:10.3934/math.2025639

AIMS Mathematics

2025, Volume 10, Issue 6: 14183-14195. doi: 10.3934/math.2025639

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Research article

Sharp bounds for multilinear Hardy operators on central Morrey spaces with power weights

Meichuan Lv ^{1
,
,},
Wenming Li ^1,2

1.
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, Hebei, 050024, China
2.
Hebei Mathematics Research Center, Shijiazhuang, Hebei, 050024, China

Received: 09 April 2025 Revised: 23 May 2025 Accepted: 05 June 2025 Published: 19 June 2025
MSC : 42B25, 40A30

In this paper, we studied the precise norm of the multilinear Hardy operators $ P^m $ and $ Q^m $ on central Morrey spaces with power weights. Furthermore, the precise norm of the multilinear Hardy operator $ Q^m $ on Lebesgue spaces with power weights was also obtained.
- sharp bound,
- multilinear Hardy operator,
- Morrey space with power weight
Citation: Meichuan Lv, Wenming Li. Sharp bounds for multilinear Hardy operators on central Morrey spaces with power weights[J]. AIMS Mathematics, 2025, 10(6): 14183-14195. doi: 10.3934/math.2025639

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Abstract

In this paper, we studied the precise norm of the multilinear Hardy operators $ P^m $ and $ Q^m $ on central Morrey spaces with power weights. Furthermore, the precise norm of the multilinear Hardy operator $ Q^m $ on Lebesgue spaces with power weights was also obtained.

References

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