Approximation of BV by SBV functions in metric spaces

doi:10.1016/j.jfa.2020.108763

CSpace > 应用数学研究所

	Approximation of BV by SBV functions in metric spaces
	Lahti, Panu
	2020-12-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	279 期号:11 页码:33
摘要	In a complete metric space that is equipped with a doubling measure and supports a Poincare inequality, we show that functions of bounded variation (BV functions) can be approximated in the strict sense and pointwise uniformly by special functions of bounded variation, without adding significant jumps. As a main tool, we study the variational 1-capacity and its BV analog. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Metric measure space Special function of bounded variation Uniform approximation Variational capacity
DOI	10.1016/j.jfa.2020.108763
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000575209400008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52296
专题	应用数学研究所
通讯作者	Lahti, Panu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lahti, Panu. Approximation of BV by SBV functions in metric spaces[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,279(11):33.
APA	Lahti, Panu.(2020).Approximation of BV by SBV functions in metric spaces.JOURNAL OF FUNCTIONAL ANALYSIS,279(11),33.
MLA	Lahti, Panu."Approximation of BV by SBV functions in metric spaces".JOURNAL OF FUNCTIONAL ANALYSIS 279.11(2020):33.