Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group
Published: Sep 15, 2025
Last Updated: Sep 15, 2025
Authors:Chuhan Sun, Zipeng Wang
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.