Harnack inequality under the change of metric. (March 2015)

• Record Type: Journal Article
• Authors: Tasena, Santi; Saloff-Coste, Laurent; Dhompongsa, Sompong
• Is Part Of: Nonlinear analysis. Volume 115(2015)
• Page Start: 89
• Page End: 102
• Publication Date: 2015-03
• Subjects: Doubling measure -- Dirichlet form -- Poincaré inequality -- Harnack inequality; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.12.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this work, we give a sufficient and necessary condition in which the (parabolic) Harnack inequality of the original space would imply that of quasi-conformal spaces. The result can be applied to a large class of functions with discrete singularities.