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	Obtaining upper bounds of heat kernels from lower bounds
	Griogor'yan, Alexander ; Hu, Jiaxin ; Lau, Ka-Sing
	2010-05-06 ; 2010-05-06
关键词	METRIC MEASURE-SPACES HARNACK INEQUALITIES ELLIPTIC-EQUATIONS BROWNIAN-MOTION MANIFOLDS NASH Mathematics, Applied Mathematics
中文摘要	We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an on-diagonal upper bound. If in addition the Dirichlet form is local and regular, then we obtain a full off-diagonal upper bound of the heat kernel provided the Dirichlet heat kernel on any ball satisfies a near-diagonal lower estimate. This reveals a new phenomenon in the relationship between the lower and upper bounds of the heat kernel. (C) 2007 Wiley Periodicals, Inc.
语种	英语 ; 英语
出版者	JOHN WILEY & SONS INC ; HOBOKEN ; 111 RIVER ST, HOBOKEN, NJ 07030 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14062]
专题	清华大学
推荐引用方式 GB/T 7714	Griogor'yan, Alexander,Hu, Jiaxin,Lau, Ka-Sing. Obtaining upper bounds of heat kernels from lower bounds[J],2010, 2010.
APA	Griogor'yan, Alexander,Hu, Jiaxin,&Lau, Ka-Sing.(2010).Obtaining upper bounds of heat kernels from lower bounds..
MLA	Griogor'yan, Alexander,et al."Obtaining upper bounds of heat kernels from lower bounds".(2010).

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