Year: 2025
Type: preprint
Abstract: We study a family of fractional integral operators defined in $\mathbb{R}^3$ whose kernels are distributions associated with Zygmund dilations: $(x_1, x_2, x_3) \rightarrow (δ_1 x_1, δ_2 x_2, δ_1δ_2 x_3)$ for $δ_1,δ_2>0$ having singularity on every coordinate subspace. As a result, we obtain a Hardy-Littlewood-Sobolev type inequality.
Source: arXiv (Cornell University)
Author: Wang, Zipeng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415154644
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