Heat Kernel Lower Gaussian Estimates in the Doubling Setting Without Poincaré Inequality
Salahaddine Boutayeb
Source: Publ. Mat. Volume 53, Number 2 (2009), 457-479.
Abstract
In the setting of a manifold with doubling property satisfying a Gaussian upper estimate of the heat kernel, one gives a characterization of the lower Gaussian estimate in terms of certain Hölder inequalities.
Primary Subjects: 58J35
Secondary Subjects: 47D07, 46E35
Keywords: Heat kernel; Hölder inequalities
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Permanent link to this document: http://projecteuclid.org/euclid.pm/1248095664
2009 © Universitat Autònoma de Barcelona, Departament de Matemàtiques
Publicacions Matemàtiques
