Carnot-Caratheodory空间上有界变差函数的Luxhin逼近(英文) 被引量：1

Lusin Approximation of BV_X Functions in Carnot-Caratheodory Spaces

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摘要证明了具Ｃａｒｎｏｔ型向量域的Ｃａｒｎｏｔ－Ｃａｒｎｏｔｈｅｄａｒｙ空间上的有界变差函数在Ｌｕｓｉｎ意义下能用Ｌｉｐｓｃｈｉｔｚ函数逼近． The aim of thes paper is to show that BVx functions in Carnot-Caratheodory spaces of Carnot type fields can be approximated by Lipschitz functions in (Rn, d) in the sense of Lusin.

作者宋迎清龙飞

机构地区湖南城建高等专科学校

出处《湖南城建高等专科学校学报》 2001年第4期5-9,共5页 Journal of Hunan Urban Construction College

关键词 BVx函数 C-C空间 Lusin逼近向量域近似微分 BVx function C-C space Lusin approximation vector field approximate differential

分类号 O174 [理学—基础数学]

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引证文献1

1SongYingqing,YangXiaoping,LongFei.LOWER SEMICONTINUITY OF A CLASS OF FUNCTIONALSIN SBV_H[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(1):27-34.

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湖南城建高等专科学校学报

2001年第4期

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Carnot-Caratheodory空间上有界变差函数的Luxhin逼近(英文) 被引量：1

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