paper

Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group

arXiv:2509.11828 · doi:10.13140/RG.2.2.15238.02889

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.

10 pages