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

Classical Analysis and ODEs 2023-05-23 v1 Analysis of PDEs
Authors: Huan Liang , Xiang Li , Dunyan Yan
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Abstract

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

Keywords

operator theory on hilbert spaces

Cite

@article{arxiv.2305.12828,
  title  = {Sharp bounds for the multilinear integral operators on Heisenberg group BMO space},
  author = {Huan Liang and Xiang Li and Dunyan Yan},
  journal= {arXiv preprint arXiv:2305.12828},
  year   = {2023}
}

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