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This is a Quantitative Study study.

October 13, 2025Open Access

Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group

Key Points

A Hardy-Littlewood-Sobolev type inequality is established for fractional integral operators.
The studied operators have kernels that meet Zygmund dilation conditions.
The approach highlights properties of Heisenberg groups in function theory.
Applications of this inequality may extend to various areas in analysis and geometry.

Abstract

We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality.

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Cite This Study

Sun et al. (Mon,) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09607 https://doi.org/https://doi.org/10.13140/rg.2.2.15238.02889

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