海森堡群中水平曲线的高阶惠特尼扩展和卢辛近似

IF 2.1 1区 数学 Q1 MATHEMATICS
Andrea Pinamonti , Gareth Speight , Scott Zimmerman
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引用次数: 0

摘要

在海森堡群水平曲线的背景下,我们证明了 Cm,ω 有限性原理、Cm,ω Lusin 近似结果、C∞ 惠特尼扩展结果和 C∞ Lusin 近似结果。结合之前的工作,这完成了对海森堡群中 Cm、Cm,ω 和 C∞ 类水平曲线的惠特尼扩展和卢辛近似的研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Higher order Whitney extension and Lusin approximation for horizontal curves in the Heisenberg group

In the setting of horizontal curves in the Heisenberg group, we prove a Cm,ω finiteness principle, a Cm,ω Lusin approximation result, a C Whitney extension result, and a C Lusin approximation result. Combined with previous work, this completes the study of Whitney extension and Lusin approximation for horizontal curves of class Cm, Cm,ω, and C in the Heisenberg group.

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来源期刊
CiteScore
4.30
自引率
0.00%
发文量
84
审稿时长
6 months
期刊介绍: Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.
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