, Volume 38, Issue 4, pp 1103-1122

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.