论文标题

Carnot群体的特殊措施家庭

Exceptional families of measures on Carnot groups

论文作者

Franchi, Bruno, Markina, Irina

论文摘要

我们研究Carnot群体的措施家庭,这些措施消失了$ p $模块,我们称之为$ p $ - 除家族。我们发现,对于$ p \ geq 1 $的外,insinesic Lipschitz表面的家族经过了必要且充分的状况。我们描述了$ p $ - $ p $ in Lipschitz的$ p $ p \ in(0,\ infty)$。

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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