热核的非对角下限估计和荷尔德正则性

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2024-07-12 DOI:10.4310/ajm.2023.v27.n5.a3

Alexander Grigor’yan, Eryan Hu, Jiaxin Hu

{"title":"热核的非对角下限估计和荷尔德正则性","authors":"Alexander Grigor’yan, Eryan Hu, Jiaxin Hu","doi":"10.4310/ajm.2023.v27.n5.a3","DOIUrl":null,"url":null,"abstract":"We study the heat kernel of a regular symmetric Dirichlet form on a metric space with doubling measure, in particular, a connection between the properties of the jump measure and the long time behaviour of the heat kernel. Under appropriate optimal hypotheses, we obtain the Hölder regularity and lower estimates of the heat kernel.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Off-diagonal lower estimates and Hölder regularity of the heat kernel\",\"authors\":\"Alexander Grigor’yan, Eryan Hu, Jiaxin Hu\",\"doi\":\"10.4310/ajm.2023.v27.n5.a3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the heat kernel of a regular symmetric Dirichlet form on a metric space with doubling measure, in particular, a connection between the properties of the jump measure and the long time behaviour of the heat kernel. Under appropriate optimal hypotheses, we obtain the Hölder regularity and lower estimates of the heat kernel.\",\"PeriodicalId\":55452,\"journal\":{\"name\":\"Asian Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/ajm.2023.v27.n5.a3\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ajm.2023.v27.n5.a3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们研究了具有加倍度量的度量空间上正则对称德里赫特形式的热核，特别是跃迁度量的性质与热核的长期行为之间的联系。在适当的最优假设下，我们得到了热核的赫尔德正则性和下限估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Off-diagonal lower estimates and Hölder regularity of the heat kernel

We study the heat kernel of a regular symmetric Dirichlet form on a metric space with doubling measure, in particular, a connection between the properties of the jump measure and the long time behaviour of the heat kernel. Under appropriate optimal hypotheses, we obtain the Hölder regularity and lower estimates of the heat kernel.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Asian Journal of Mathematics 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes original research papers and survey articles on all areas of pure mathematics and theoretical applied mathematics.