The density of the area integral in \({\mathbb{R}}_+^{n+1}\)

DOI10.5802/aif.1006zbMath0544.31012OpenAlexW2319283214MaRDI QIDQ796698

Richard F. Gundy, Martin L. Silverstein

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_1_215_0

zbMATH Keywords

Brownian motionsingular integrals

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Brownian motion (60J65) Axiomatic potential theory (31D05) Probabilistic potential theory (60J45)

Related Items (10)

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) ⋮ An analogue for harmonic functions of Kolmogorov's law of the iterated logarithm ⋮ Some martingale inequalities with applications to harmonic analysis ⋮ Boundedness and continuity of the Lévy transform in analysis ⋮ A new proof of certain Littlewood-Paley inequalities ⋮ Local Fatou theorem and the density of energy on manifolds of negative curvature ⋮ A ``Tanaka formula in harmonic analysis and some applications ⋮ Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times ⋮ Distribution function inequalities for the density of the area integral ⋮ Renormalization of the product, Jacobians and Riesz transforms

Cites Work

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• Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
• \(H^p\) spaces of several variables
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• (Semi-) martingale inequalities and local times
• Inequalities for ratios of functionals of harmonic functions
• Distribution function inequalities for the area integral

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