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arXiv · 2601.03695

$H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel

Jiashu Zhang·Zipeng Wang
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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 $H^1$-Hardy space to $L^q$-spaces.

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Jiashu Zhang, Zipeng Wang. 2026-01-07. $H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel. https://arxiv.org/abs/2601.03695

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