Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms
Ewa Damek (1997)
Colloquium Mathematicae
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Ewa Damek (1997)
Colloquium Mathematicae
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Ewa Damek (1988)
Studia Mathematica
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Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)
Studia Mathematica
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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.
S. Chang (1981)
Studia Mathematica
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Joaquim Bruna (1992)
Publicacions Matemàtiques
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We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of C and give an application to a Runge type approximation theorem for such functions.
Ewa Damek, Andrzej Hulanicki, Roman Urban (2001)
Revista Matemática Iberoamericana
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In this paper we treat noncoercive operators on simply connected manifolds of negative curvature.
Vadim A. Kaimanovich, Albert Fisher (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Tadeusz Pytlik (1992)
Colloquium Mathematicae
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