INTRINSICALLY LIPSCHITZ FUNCTIONS WITH NORMAL TARGET IN CARNOT GROUPS

被引：11

作者：

Antonelli, Gioacchino ^{[1
]}

Merlo, Andrea ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

[2] Univ Pisa, Largo Bruno Pontecorvo 5, I-56126 Pisa, Italy

来源：

ANNALES FENNICI MATHEMATICI | 2021年 / 46卷 / 01期

基金：

欧盟地平线“2020”; 欧洲研究理事会;

关键词：

Carnot groups; intrinsically Lipschitz functions; Rademacher theorem; area formula;

D O I：

10.5186/aasfm.2021.4638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a Rademacher theorem for intrinsically Lipschitz functions phi: U C W-+ L, where U is a Borel set, W and L are complementary subgroups of a Carnot group, where we require that L is a normal subgroup. Our hypotheses are satisfied for example when W is a horizontal subgroup. Moreover, we provide an area formula for this class of intrinsically Lipschitz functions.

引用

页码：571 / 579

页数：9

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