On the regularity of the maximal function of a BV function
文献类型：期刊论文
| 作者 | Lahti, Panu
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2021-11-05 |
| 卷号 | 300页码:53-79 |
| 关键词 | Function of bounded variation Sobolev function Non-centered maximal function Quasicontinuity Absolute continuity |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2021.07.037 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000691804000003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59224]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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