Potential Analysis

, Volume 38, Issue 4, pp 1103–1122 | Cite as

Blaschke, Privaloff, Reade and Saks Theorems for Diffusion Equations on Lie Groups

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Abstract

We prove some asymptotic characterizations for the subsolutions to a class of diffusion equations on homogeneous Lie groups. These results are the diffusion counterpart of the classical Blaschke, Privaloff, Reade and Saks Theorems for harmonic functions.

Keywords

Diffusion equations Ultraparabolic equations Subsolutions Mean-value operators Homogeneous Lie groups 

Mathematics Subject Classifications (2010)

Primary 35K70 31B05; Secondary 35R03 35H10 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly

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