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FEDERER'S CHARACTERIZATION OF SETS OF FINITE PERIMETER IN METRIC SPACES

文献类型：期刊论文

作者Lahti, Panu
刊名ANALYSIS & PDE
出版日期2020
卷号13期号:5页码:1501-1519
关键词metric measure space set of finite perimeter Federer's characterization measure-theoretic boundary codimension-1 Hausdorff measure fine topology
ISSN号1948-206X
DOI10.2140/apde.2020.13.1501
英文摘要Federer's characterization of sets of finite perimeter states (in Euclidean spaces) that a set is of finite perimeter if and only if the measure-theoretic boundary of the set has finite Hausdorff measure of codimension 1. In complete metric spaces that are equipped with a doubling measure and support a Poincare inequality, the "only if" direction was shown by Ambrosio (2002). By applying fine potential theory in the case p = 1, we prove that the "if" direction holds as well.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000555886800007
出版者MATHEMATICAL SCIENCE PUBL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51967]  
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, Peoples R China
推荐引用方式
GB/T 7714		 Lahti, Panu. FEDERER'S CHARACTERIZATION OF SETS OF FINITE PERIMETER IN METRIC SPACES[J]. ANALYSIS & PDE,2020,13(5):1501-1519.
APA Lahti, Panu.(2020).FEDERER'S CHARACTERIZATION OF SETS OF FINITE PERIMETER IN METRIC SPACES.ANALYSIS & PDE,13(5),1501-1519.
MLA Lahti, Panu."FEDERER'S CHARACTERIZATION OF SETS OF FINITE PERIMETER IN METRIC SPACES".ANALYSIS & PDE 13.5(2020):1501-1519.

入库方式： OAI收割

来源：数学与系统科学研究院

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