On the equivalence of parabolic Harnack inequalities and heat kernel estimates

On the equivalence of parabolic Harnack inequalities and heat kernel estimates
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DOI:
10.2969/jmsj/06441091
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发表时间:
2012-10
影响因子:
0.7
通讯作者:
M. Barlow;A. Grigor’yan;T. Kumagai
M. Barlow;A. Grigor’yan;T. Kumagai
中科院分区:
数学4区
文献类型:
--
作者:
M. Barlow;A. Grigor’yan;T. Kumagai

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在一般度量测度空间中,证明了抛物型Harnack不等式与次高斯热核估计的等价性。
We prove the equivalence of parabolic Harnack inequalities and sub-Gaussian heat kernel estimates in a general metric measure space with a local regular Dirichlet form.