A ``Tanaka formula in harmonic analysis and some applications

DOI10.1006/aima.1998.1746zbMath0924.42015OpenAlexW1968791015MaRDI QIDQ1272803

Lucien Chevalier

Publication date: 8 November 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1746

zbMATH Keywords

BMOHardy spacesTanaka formulaclass \(L\log L\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) (H^p)-spaces (42B30) Martingales and classical analysis (60G46)

Related Items (4)

Density of the area integral and singular integrals ⋮ Boundedness and continuity of the Lévy transform in analysis ⋮ A new proof of certain Littlewood-Paley inequalities ⋮ Renormalization of the product, Jacobians and Riesz transforms

Cites Work

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• The density of the area integral in \({\mathbb{R}}_+^{n+1}\)
• 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 \(R_+^{n+1})\)
• The area integral and its density for BMO and VMO functions
• Density of the area integral and singular integrals
• Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
• \(H^p\) spaces of several variables
• Localisation de L'Espace de Hardy H ¹ et Opérateurs de Calderón-Zygmund
• On the class LlogL, martingales, and singular integrals
• Note on the class LlogL

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