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arXiv · 2209.08438

Exceptional families of measures on Carnot groups

Bruno Franchi·Irina Markina
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Abstract

We study the families of measures on Carnot groups that have vanishing $p$-module, which we call $p$-exceptional families. We found necessary and sufficient condition for the family of intrinsic Lipschitz surfaces passing through a common point to be $p$-exceptional for $p\geq 1$. We described a wide class of $p$-exceptional intrinsic Lipschitz surfaces for $p\in(0,\infty)$.

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Bruno Franchi, Irina Markina. 2022-09-18. Exceptional families of measures on Carnot groups. https://arxiv.org/abs/2209.08438

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