Potential Analysis

, Volume 38, Issue 4, pp 1103–1122

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


DOI: 10.1007/s11118-012-9309-6

Cite this article as:
Kogoj, A.E. & Tralli, G. Potential Anal (2013) 38: 1103. doi:10.1007/s11118-012-9309-6


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.


Diffusion equationsUltraparabolic equationsSubsolutionsMean-value operatorsHomogeneous Lie groups

Mathematics Subject Classifications (2010)

Primary 35K7031B05; Secondary 35R0335H10

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly