Approximation of BV by SBV functions in metric spaces
文献类型：期刊论文
| 作者 | Lahti, Panu
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000575209400008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52295]  |
| 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. 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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