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arXiv · 2509.11828

Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group

Chuhan Sun·Zipeng Wang
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Abstract

We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality.

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Chuhan Sun, Zipeng Wang. 2025-09-15. Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group. https://doi.org/10.13140/rg.2.2.15238.02889

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