The area integral and its density for BMO and VMO functions

DOI10.1007/BF02559482zbMath0803.42008MaRDI QIDQ1320526

Jean Brossard, Rodrigo Bañuelos

Publication date: 19 December 1994

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

BMOPoisson kernelVMOLittlewood-Paley square functionmaximal densityconic area integralspace of uniformly continuous functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (3)

Strong maximal function and Marcinkiewicz integral ⋮ A ``Tanaka formula in harmonic analysis and some applications ⋮ BMO spaces, Carleson measures, generalized Littlewood-Paley \(g\) functions, and annulation conditions

Cites Work

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• 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)
• 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)
• Classe L Log L et densité de l'intégrale d'aire dans \(R_+^{n+1}\). (The class L Log L and the density of the surface integral in \(R_+^{n+1})\)
• \(H^p\) spaces of several variables
• (Semi-) martingale inequalities and local times
• Functions of Vanishing Mean Oscillation
• Extensions of Hardy spaces and their use in analysis

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