Lipschitz continuity for H-convex functions in Carnot groups

被引：7

作者：

Sun, MB ^{[1
]}

Yang, XP

机构：

[1] Hunan Inst Sci & Technol, Dept Math Appl, Yueyang 414000, Hunan, Peoples R China

[2] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2006年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

H-convex function; Carnot group; Heisenberg group; Lipschitz continuity;

D O I：

10.1142/S0219199706002015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a Carnot group G of step two, we prove that H-convex functions are locally bounded from above. Therefore, H-convex functions on a Carnot group G of step two axe locally Lipschitz continuous by using recent results by Magnani.

引用

页码：1 / 8

页数：8

共 9 条

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