Estimates for derivatives of the Poisson kernels on homogeneous manifolds of negative curvature

DOI10.1007/s002090100397zbMath1008.22003OpenAlexW2058969406MaRDI QIDQ1849486

Roman Urban

Publication date: 1 December 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002090100397

zbMATH Keywords

Poisson kernelnegative curvaturehomogeneous manifoldNA group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Harmonic analysis on homogeneous spaces (43A85) Nilpotent and solvable Lie groups (22E25) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (4)

An upper bound for the Poisson kernel on higher rank \(NA\) groups ⋮ Estimates for the Poisson kernel and the evolution kernel on the Heisenberg group ⋮ Estimates for the derivatives of the Poisson kernel on nilpotent meta-abelian groups ⋮ Asymptotic Behavior of Poisson Kernels on NA Groups

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