H p -Classes on Rank One Symmetric Spaces of Noncompact Type. I. Nontangential and Probabilistic Maximal Functions

DOI10.2307/2000122zbMath0584.43011OpenAlexW4244203163MaRDI QIDQ3709252

Patricio Cifuentes

Publication date: 1986

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000122

zbMATH Keywords

diffusionharmonic functionsnontangential maximal functionnoncompact typerank one symmetric spaceLaplace- Beltrami operator\(H^ P\)-classes

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Diffusion processes (60J60) Analysis on real and complex Lie groups (22E30) Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometry of symmetric spaces (53C35) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (3)

Degenerate elliptic operators, Hardy spaces and diffusions on strongly pseudoconvex domains ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property ⋮ Admissible convergence in Cartan-Hadamard manifolds.

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