Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Kogoj, A., Lanconelli, E. An Invariant Harnack Inequality for a Class of Hypoelliptic Ultraparabolic Equations . Mediterr. j. math. 1, 51–80 (2004). https://doi.org/10.1007/s00009-004-0004-8
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00009-004-0004-8