Estimates for the Poisson kernels and their derivatives on rank one NA groups
Volume 126 / 1997
Studia Mathematica 126 (1997), 115-148
DOI: 10.4064/sm-126-2-115-148
Abstract
For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.
