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arXiv · 2412.19528

On the end-point of Stein-Weiss inequality

Chuhan Sun·Zipeng Wang
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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.

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Chuhan Sun, Zipeng Wang. 2024-12-27. On the end-point of Stein-Weiss inequality. https://arxiv.org/abs/2412.19528

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