$H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel
Classical Analysis and ODEs
2026-01-08 v1
Abstract
We study a family of fractional integral operators whose kernels satisfying an non-isotropic dilation have singularity on a coordinate subspace. A characterization is given for these operators bounded from the classical, atom decomposable -Hardy space to -spaces.
Keywords
Cite
@article{arxiv.2601.03695,
title = {$H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel},
author = {Jiashu Zhang and Zipeng Wang},
journal= {arXiv preprint arXiv:2601.03695},
year = {2026}
}