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Estimates for the Poisson kernels and their derivatives on rank one NA groups

Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)

Studia Mathematica

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.

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