ESTIMATES FOR THE POISSON KERNELS AND THEIR DERIVATIVES ON RANK-ONE N-A GROUPS

Authors
DAMEK E HULANICKI A ZIENKIEWICZ J
Citation
E. Damek et al., ESTIMATES FOR THE POISSON KERNELS AND THEIR DERIVATIVES ON RANK-ONE N-A GROUPS, Studia Mathematica, 126(2), 1997, pp. 115-148
Citations number
27
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
126
Issue
2
Year of publication
1997
Pages
115 - 148
Database
ISI
SICI code
0039-3223(1997)126:2<115:EFTPKA>2.0.ZU;2-5
Abstract
For rank one solvable Lie groups of the type NA estimates for the Pois son kernels and their derivatives are obtained. The results give estim ates on the Poisson kernel and its derivatives in a natural parametriz ation of the Poisson boundary (minus one point) of a general homogeneo us, simply connected manifold of negative curvature.