Multi-parameter fractional integration on Heisenberg group
Classical Analysis and ODEs
2026-03-02 v2
Abstract
We study strong fractional maximal operator and fractional integral operator associated with Zygmund dilation defined on Heisenberg group. Characterizations are established for the L^p to L^q regularity of these two operators.
Cite
@article{arxiv.2510.13411,
title = {Multi-parameter fractional integration on Heisenberg group},
author = {Chuhan Sun and Zipeng Wang},
journal= {arXiv preprint arXiv:2510.13411},
year = {2026}
}
Comments
we correct some typos and small errors from the previous version