Abstract
The aim of this paper is to show the strong connection between regularity of bounded open set boundary points and quasi-boundedness, on the same set, of the fundamental solution of stratified Lie group sub-Laplacians. In the euclidean case the theorem was proved by Kuran (J Lond Math Soc 2(19):301–311, 1979). We later give two examples using some direct consequences of main theorem.
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