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

• Autorzy: Ewa Damek , Andrzej Hulanicki , Jacek Zienkiewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 31B25: Boundary behavior
• 22E25: Nilpotent and solvable Lie groups
• 43A85: Analysis on homogeneous spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 126
• Numer: 2
• Strony: 115-148

Daty

wydano

1997

otrzymano

1996-05-27

poprawiono

1997-03-27

poprawiono

1997-06-13

Twórcy

autor

Ewa Damek

• Institute of Mathematics, The University of Wrocław, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Andrzej Hulanicki

• Institute of Mathematics, The University of Wrocław, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland
• [e-mail]

autor

Jacek Zienkiewicz

• Institute of Mathematics, The University of Wrocław, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland

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