Densité de l'intégrale d'aire dans \({\mathbb{R}}_+^{n+1}\) et limites non tangentielles. (Density of the area integral in \({\mathbb{R}}_ +^{n+1}\) and non-tangential limits)

DOI10.1007/BF01394335zbMath0655.31004MaRDI QIDQ1109175

Jean Brossard

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143599

zbMATH Keywords

area integraldensitymartingalenon-tangential limitharmoniccontinuity propertyTrotter's theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (5)

An area theorem for joint harmonic functions on the product of homogeneous trees ⋮ Local Fatou theorem and the density of energy on manifolds of negative curvature ⋮ Distribution function inequalities for the density of the area integral ⋮ Problème de Fatou ponctuel et dérivabilité des mesures. (Pointwise Fatou problem and differentiability of measures) ⋮ The area integral and its density for BMO and VMO functions

Cites Work

• The density of the area integral in \({\mathbb{R}}_+^{n+1}\)
• Estimates of harmonic measure
• Limites angulaires et limites fines
• (Semi-) martingale inequalities and local times
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