Whitney-type theorems on extension of functions on Carnot groups

被引：0
|
作者：
Vodopyanov, S. K. [1 ]
Pupyshev, I. M. [1 ]
机构：
[1] Russian Acad Sci, Siberian Div, Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Carnot Group;
D O I：
10.1134/S1064562406010236
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classical Whitney's Theorem about extension of functions of various smoothness classes was generalized to Carnot groups. A Carnot group is defined as a connected simply connected Lie group whose Lie Algebra is graded. Various properties of differential operators were analyzed with respect to the Taylor polynomial on the Carnot group. The Lipschitz spaces for a particular variable (γ) were analyzed for different values of γ and more general moduli of continuity.
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页码：85 / 89
页数：5
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