Approximation of BV by SBV functions in metric spaces

doi:10.1016/j.jfa.2020.108763

	Approximation of BV by SBV functions in metric spaces
	Lahti, Panu
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2020-12-15
卷号	279 期号:11 页码:33
关键词	Metric measure space Special function of bounded variation Uniform approximation Variational capacity
ISSN号	0022-1236
DOI	10.1016/j.jfa.2020.108763
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000575209400008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52295]
专题	中国科学院数学与系统科学研究院
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.