An Invariant Harnack Inequality for a Class of Hypoelliptic Ultraparabolic Equations
- Cite this article as:
- Kogoj, A. & Lanconelli, E. Mediterr. j. math. (2004) 1: 51. doi:10.1007/s00009-004-0004-8
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We show an invariant Harnack inequality for a class of hypoelliptic ultraparabolic operators with underlying homogeneous Lie group structures. As a byproduct we prove a Liouville type theorem for the related “stationary” operators. We also introduce a notion of link of homogeneous Lie Groups that allows us to show that our results apply to wide classes of operators.