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

Fuente: arXiv
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Autori principali: Zhang, Jiashu, Wang, Zipeng
Natura: Preprint
Pubblicazione: 2026
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author Zhang, Jiashu
Wang, Zipeng
author_facet Zhang, Jiashu
Wang, Zipeng
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03695
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle $H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel
Zhang, Jiashu
Wang, Zipeng
Classical Analysis and ODEs
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.
title $H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2601.03695