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arXiv · 2511.00845

Stein-Weiss inequality revisit on Heisenberg group

Chuhan Sun·Zipeng Wang
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Abstract

We study a family of fractional integral operators defined on Heisenberg group whose kernels satisfy Zygmund dilation. We give a characterization between a two-weight norm inequality and the necessary constraints by considering the weights to be suitable powers. As a result, we obtain a Stein-Weiss inequality on Heisenberg group.

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Chuhan Sun, Zipeng Wang. 2025-11-02. Stein-Weiss inequality revisit on Heisenberg group. https://arxiv.org/abs/2511.00845

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