This analysis uncovers a Hardy-Littlewood-Sobolev type inequality in Heisenberg groups, indicating new properties of fractional integral operators.
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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Sun et al. (2025) studied this question.
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