Sharp bounds for the multilinear integral operators on Heisenberg group BMO space

2023/05/22 by Liang, Huan, Li, Xiang, Yan, Dunyan
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.12828

Abstract

In this paper, we study m-linear n-demensional Hardy-Littlewood-Pólya operator and m-linear n-demensional Hilbert operator on Heisenberg group BMO space. We obtain that the above two m-linear n-demensional operators is bounded in the BMO space of the Heisenberg group.

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