Area formulas for classes of Holder continuous mappings of Carnot groups

被引：9
|
作者：
Karmanova, M. B. [1 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
nilpotent graded group; Carnot group; Holder continuous mapping; Lipschitz continuous mapping; graph mapping; intrinsic measure; area formula; SUB-RIEMANNIAN DIFFERENTIABILITY; QUASI-CONFORMAL MAPPINGS; CARATHEODORY SPACES; HEISENBERG-GROUP; GRAPH SURFACES; CONTACT;
D O I：
10.1134/S0037446617050093
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove area formulas for classes of the mappings that are Holder continuous in the sub-Riemannian sense and defined on nilpotent graded groups. Moreover, in one of the model cases, we establish an area formula for calculating the initial measure and a measure close to it.
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页码：817 / 836
页数：20
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