Stein-Weiss inequality revisit on Heisenberg group
Classical Analysis and ODEs
2025-11-04 v1
Abstract
We study a family of fractional integral operators defined on Heisenberg group whose kernels satisfy Zygmund dilation. We give a characterization between a two-weight norm inequality and the necessary constraints by considering the weights to be suitable powers. As a result, we obtain a Stein-Weiss inequality on Heisenberg group.
Keywords
Cite
@article{arxiv.2511.00845,
title = {Stein-Weiss inequality revisit on Heisenberg group},
author = {Chuhan Sun and Zipeng Wang},
journal= {arXiv preprint arXiv:2511.00845},
year = {2025}
}
Comments
29 pages