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

Damek, Ewa; Hulanicki, Andrzej; Zienkiewicz, Jacek

Damek, Ewa ; Hulanicki, Andrzej ; Zienkiewicz, Jacek

Studia Mathematica, Tome 122 (1997), p. 115-148 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1997-01-01

Zbl 0888.22007

EUDML-ID : urn:eudml:doc:216447

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     author = {Ewa Damek and Andrzej Hulanicki and Jacek Zienkiewicz},
     title = {Estimates for the Poisson kernels and their derivatives on rank one NA groups},
     journal = {Studia Mathematica},
     volume = {122},
     year = {1997},
     pages = {115-148},
     zbl = {0888.22007},
     language = {en},
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Damek, Ewa; Hulanicki, Andrzej; Zienkiewicz, Jacek. Estimates for the Poisson kernels and their derivatives on rank one NA groups. Studia Mathematica, Tome 122 (1997) pp. 115-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv126i2p115bwm/

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