Estimates for the Poisson kernel and the evolution kernel on the Heisenberg group

DOI10.1007/s00028-011-0134-yzbMath1268.43004OpenAlexW2042233250MaRDI QIDQ692818

Roman Urban, Richard C. Penney

Publication date: 6 December 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0134-y

zbMATH Keywords

Brownian motionharmonic functionsPoisson kernelHeisenberg groupsevolution kernelsolvable Lie groupshomogeneous groupsexponential functionals of Brownian motionhigher rank \(NA\) groupsleft invariant differential operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Diffusion processes (60J60) Analysis on real and complex Lie groups (22E30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items

Poisson kernels on nilpotent, 3-meta-abelian groups ⋮ Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups ⋮ Poisson kernels on semi-direct products of abelian groups ⋮ Estimates for the derivatives of the Poisson kernel on nilpotent meta-abelian groups ⋮ Unnamed Item

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