超度量空间上的热核和非局部狄利克雷形式

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2020-01-01 DOI:10.2422/2036-2145.201901_011

A. Bendikov, Eryan Hu, Jiaxin Hu

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引用次数: 15

摘要

研究了超度量空间上的一类跳跃测度及其非局部正则狄利克雷形式。根据跳跃测度的性质，得到了某些热核上估计和下估计的等价条件。特别地，热核估计给出了相当退化/奇异跳跃措施，如在许多例子中所示。

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Heat kernels and non-local Dirichlet forms on ultrametric spaces

We consider a class of jump measures on ultrametric spaces and the associated non-local regular Dirichlet forms. We obtain equivalent conditions for certain heat kernel upper and lower estimates in terms of the properties of the jump measure. In particular, heat kernel estimates are given for quite degenerate/singular jump measures as shown in a number of examples.

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24