Gaussian bounds and parabolic Harnack inequality on locally irregular graphs

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• 作者：Martin T. Barlow ; Xinxing Chen
• 关键词：Mathematics Subject Classification60K37 ; 58J35
• 刊名：Mathematische Annalen
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：366
• 期：3-4
• 页码：1677-1720
• 全文大小：756 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1807
• 卷排序：366

文摘

A well known theorem of Delmotte is that Gaussian bounds, parabolic Harnack inequality, and the combination of volume doubling and Poincaré inequality are equivalent for graphs. In this paper we consider graphs for which these conditions hold, but only for sufficiently large balls, and prove a similar equivalence.