Heat kernel lower Gaussian estimates in the doubling setting without Poincaré inequality

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Publicacions matemàtiques 2009-01, Vol.53 (2), p.457-479
1. Verfasser:	Boutayeb, S
Format:	Artikel
Sprache:	eng
Schlagworte:	46E35 47D07 58J35 Analytical estimating Analyticity Fractals Heat equation Heat kernel Hölder inequalities Mathematical inequalities Polynomials Potential theory Random walk Riemann manifold Semigroups
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Beschreibung
Zusammenfassung:	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.
ISSN:	2014-4350 0214-1493 2014-4350
DOI:	10.5565/PUBLMAT_53209_08