Publicacions Matemàtiques

Heat Kernel Lower Gaussian Estimates in the Doubling Setting Without Poincaré Inequality

Salahaddine Boutayeb

Full-text: Open access

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.

Article information

Source
Publ. Mat., Volume 53, Number 2 (2009), 457-479.

Dates
First available in Project Euclid: 20 July 2009

Permanent link to this document
https://projecteuclid.org/euclid.pm/1248095664

Mathematical Reviews number (MathSciNet)
MR2543860

Zentralblatt MATH identifier
1173.58010

Subjects
Primary: 58J35: Heat and other parabolic equation methods
Secondary: 47D07: Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx} 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Keywords
Heat kernel Hölder inequalities

Citation

Boutayeb, Salahaddine. Heat Kernel Lower Gaussian Estimates in the Doubling Setting Without Poincaré Inequality. Publ. Mat. 53 (2009), no. 2, 457--479. https://projecteuclid.org/euclid.pm/1248095664


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