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In this paper, we study m-linear n-demensional Hardy-Littlewood-P\'{o}lyaoperator and m-linear n-demensional Hilbert operator on Heisenberg group BMOspace. We obtain that the above two $m$-linear n-demensional operators isbounded in the BMO space of the Heisenberg group.

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