On the end-point of Stein-Weiss inequality
Classical Analysis and ODEs
2025-08-08 v4
Abstract
This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for p=1. Second, by considering a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace, we extend this end-point result to the multi-parameter setting.
Keywords
Cite
@article{arxiv.2412.19528,
title = {On the end-point of Stein-Weiss inequality},
author = {Chuhan Sun and Zipeng Wang},
journal= {arXiv preprint arXiv:2412.19528},
year = {2025}
}