On the regularity of the maximal function of a BV function

doi:10.1016/j.jde.2021.07.037

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	On the regularity of the maximal function of a BV function
	Lahti, Panu
	2021-11-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	300 页码:53-79
摘要	We show that the non-centered maximal function of a BV function is quasicontinuous. We also show that if the non-centered maximal functions of an SBV function is a BV function, then it is in fact a Sobolev function. Using a recent result of Weigt [12], we are in particular able to show that the non-centered maximal function of a set of finite perimeter is a Sobolev function. (c) 2021 Elsevier Inc. All rights reserved.
关键词	Function of bounded variation Sobolev function Non-centered maximal function Quasicontinuity Absolute continuity
DOI	10.1016/j.jde.2021.07.037
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000691804000003
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/59225
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. On the regularity of the maximal function of a BV function[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,300:53-79.
APA	Lahti, Panu.(2021).On the regularity of the maximal function of a BV function.JOURNAL OF DIFFERENTIAL EQUATIONS,300,53-79.
MLA	Lahti, Panu."On the regularity of the maximal function of a BV function".JOURNAL OF DIFFERENTIAL EQUATIONS 300(2021):53-79.