Espaces \(H^ p\) au dessus de l'espace hermitien hyperbolique de \(C^ n\) (\(n>1\)). II

DOI10.1016/0022-1236(81)90067-7zbMath0472.60007OpenAlexW2082882053MaRDI QIDQ1157829

Amédée Debiard

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90067-7

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Martingales with continuous parameter (60G44) (H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items

Regularity for subelliptic PDE through uniform estimates in multi-scale geometries, Degenerate elliptic operators, Hardy spaces and diffusions on strongly pseudoconvex domains, Large deviations for the radial processes of the Brownian motions on hyperbolic spaces, Mesures pluriharmoniques et comparaison de deux théories du potentiel au bord, Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane, Geometric properties of Heisenberg-type groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conformal martingales
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• BMO functions and the \(\overline\partial\)-equation
• The atomic decomposition for Hardy spaces in several complex variables
• Fatou's theorem for symmetric spaces. I
• Pointwise limits for sequences of convolution operators
• \(H^p\) spaces of several variables
• On functions of bounded mean oscillation
• Local Fatou Theorem and Area Theorem for Symmetric Spaces of Rank One
• Fourier analysis on the Heisenberg group
• Extensions of Hardy spaces and their use in analysis
• Curvature in Nilpotent Lie Groups
• Diffusion processes in a small time interval
• Harmonic Functions on Hermitian Hyperbolic Space
• Distribution function inequalities for the area integral
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• A Generalized Area Theorem for Harmonic Functions on Hermitian Hyperbolic Space