Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces

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	Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces
	Lahti, Panu1,2 ; Li, Xining 3; Wang, Zhuang 4
	2021
发表期刊	ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
ISSN	0391-173X
卷号	22 期号:3 页码:1353-1383
摘要	We study the boundary traces of Newton-Sobolev, Haj lasz-Sobolev, and BV (bounded variation) functions. Assuming less regularity of the domain than is usually done in the literature, we show that all of these function classes achieve the same "boundary values", which in particular implies that the trace spaces coincide provided that they exist. Many of our results seem to be new even in Euclidean spaces but we work in a more general complete metric space equipped with a doubling measure and supporting a Poincare inequality.
收录类别	SCI
语种	英语
资助项目	NNSF of China[11701582] ; Academy of Finland via Centre of Excellence in Analysis and Dynamics Research[307333] ; Simons Foundation[346300] ; Polish MNiSW fund
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000704984400011
出版者	SCUOLA NORMALE SUPERIORE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59387
专题	应用数学研究所
通讯作者	Lahti, Panu
作者单位	1.Univ Augsburg, Inst Math, Univ Str 14, D-86159 Augsburg, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China 4.Hunan Normal Univ, Sch Math & Stat, LCSM MOE, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Lahti, Panu,Li, Xining,Wang, Zhuang. Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,2021,22(3):1353-1383.
APA	Lahti, Panu,Li, Xining,&Wang, Zhuang.(2021).Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,22(3),1353-1383.
MLA	Lahti, Panu,et al."Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces".ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 22.3(2021):1353-1383.