Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces
文献类型：期刊论文
| 作者 | Lahti, Panu1,2 ; Li, Xining3; Wang, Zhuang4
|
| 刊名 | ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
 |
| 出版日期 | 2021 |
| 卷号 | 22期号:3页码:1353-1383 |
| ISSN号 | 0391-173X |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000704984400011 |
| 出版者 | SCUOLA NORMALE SUPERIORE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59386]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。