{"title":"具有 Bott-Chern 同调的多谐函数的边界值","authors":"Sény Diatta, Souhaibou Sambou, Eramane Bodian, Salomon Sambou, Shaban Khidr","doi":"10.1007/s44146-024-00110-4","DOIUrl":null,"url":null,"abstract":"<div><p>The main purpose of this paper is to investigate the relationship between continuation of pluriharmonic functions from the boundary of an unbounded domain and the vanishing of the Bott-Chern cohomology with supports in a paracompactifying family of closed subset of a complex manifold <i>X</i>. We moreover give a relation between distributional boundary values and extensible currents.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"231 - 239"},"PeriodicalIF":0.5000,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundary values of pluriharmonic functions with Bott-Chern cohomology\",\"authors\":\"Sény Diatta, Souhaibou Sambou, Eramane Bodian, Salomon Sambou, Shaban Khidr\",\"doi\":\"10.1007/s44146-024-00110-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The main purpose of this paper is to investigate the relationship between continuation of pluriharmonic functions from the boundary of an unbounded domain and the vanishing of the Bott-Chern cohomology with supports in a paracompactifying family of closed subset of a complex manifold <i>X</i>. We moreover give a relation between distributional boundary values and extensible currents.</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"90 1-2\",\"pages\":\"231 - 239\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-024-00110-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-024-00110-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文的主要目的是研究从无界域边界出发的多谐函数的延续与复流形 X 的闭合子集的准压缩族中有支持的 Bott-Chern 同调的消失之间的关系，并给出分布边界值与可扩展电流之间的关系。
Boundary values of pluriharmonic functions with Bott-Chern cohomology
The main purpose of this paper is to investigate the relationship between continuation of pluriharmonic functions from the boundary of an unbounded domain and the vanishing of the Bott-Chern cohomology with supports in a paracompactifying family of closed subset of a complex manifold X. We moreover give a relation between distributional boundary values and extensible currents.
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