Potential Analysis

, Volume 38, Issue 4, pp 1103–1122

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

Authors

    • Dipartimento di MatematicaUniversità di Bologna
  • Giulio Tralli
    • Dipartimento di MatematicaUniversità di Bologna
Article

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

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

Copyright information

© Springer Science+Business Media B.V. 2012