On the equivalence of parabolic Harnack inequalities and heat kernel estimates

 BARLOW Martin T. BARLOW Martin T.
 Department of Mathematics, University of British Columbia

 GRIGORYAN Alexander GRIGOR'YAN Alexander
 Department of Mathematics, University of Bielefeld

 KUMAGAI Takashi KUMAGAI Takashi
 RIMS, Kyoto University
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Author(s)

 BARLOW Martin T. BARLOW Martin T.
 Department of Mathematics, University of British Columbia

 GRIGORYAN Alexander GRIGOR'YAN Alexander
 Department of Mathematics, University of Bielefeld

 KUMAGAI Takashi KUMAGAI Takashi
 RIMS, Kyoto University
Abstract
We prove the equivalence of parabolic Harnack inequalities and subGaussian heat kernel estimates in a general metric measure space with a local regular Dirichlet form.
Journal

 Journal of the Mathematical Society of Japan

Journal of the Mathematical Society of Japan 64(4), 10911146, 20121001
The Mathematical Society of Japan
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