Intrinsic Lipschitz graphs in Carnot groups of step 2

IF 0.9 4区数学 Q2 Mathematics

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-03-06 DOI:10.5186/aasfm.2020.4556

D. Donato

引用次数: 9

Abstract

We focus our attention on the notion of intrinsic Lipschitz graphs, inside a special class of metric spaces i.e. the Carnot groups. More precisely, we provide a characterization of locally intrinsic Lipschitz functions in Carnot groups of step 2 in terms of their intrinsic distributional gradients.

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第二步卡诺群的内禀Lipschitz图

我们将注意力集中在一个特殊的度量空间(即卡诺群)内的内禀利普希茨图的概念上。更准确地说，我们给出了第2步卡诺群中局部本征Lipschitz函数的本征分布梯度的表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.