Hardy spaces and the \(Tb\) Theorem

DOI10.1007/BF02922074zbMath1059.42015MaRDI QIDQ1769160

Yongsheng Han, Ming-Yi Lee, Chin-Cheng Lin

Publication date: 18 March 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceCalderón-Zygmund operatorPlancherel-Pólya inequalitydiscrete Calderón formulaLittlewood-Paley \(g\) function \(Tb\) theroem

Mathematics Subject Classification ID

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

Related Items (15)

The \(Tb\) theorem for inhomogeneous Besov and Triebel-Lizorkin spaces and its application ⋮ Singular integral operators on Triebel-Lizorkin spaces of para-accretive type ⋮ \(Tb\) theorem for Triebel-Lizorkin spaces over spaces of homogeneous type and their applications ⋮ \(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ CARLESON MEASURE SPACES ASSOCIATED TO PARA-ACCRETIVE FUNCTIONS ⋮ A study of one-sided singular integral and function space via reproducing formula ⋮ Para-accretive functions and Hardy spaces ⋮ Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications ⋮ Boundary values of harmonic functions in spaces of Triebel-Lizorkin type ⋮ \(Tb\) theorem for the generalized singular integral operator on product Lipschitz spaces with para-accretive functions ⋮ Triebel-Lizorkin spaces of para-accretive type and a \(Tb\) theorem ⋮ Some new Besov and Triebel-Lizorkin spaces associated with para-accretive functions on spaces of homogeneous type ⋮ Calderón-Zygmund operators on Lipschitz spaces over RD spaces ⋮ A note on the boundedness of Calderón-Zygmund operators on Hardy spaces ⋮ Weighted variable Hardy spaces associated with para-accretive functions and boundedness of Calderón-Zygmund operators

Cites Work

• A discrete transform and decompositions of distribution spaces
• Para-accretive functions, the weak boundedness property and the Tb theorem
• A boundedness criterion for generalized Calderón-Zygmund operators
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Calderón-type reproducing formula and the \(Tb\) theorem
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• The Calderon-Zygmund Decomposition on Product Domains
• Extensions of Hardy spaces and their use in analysis
• Cauchy integrals on Lipschitz curves and related operators
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• Some Maximal Inequalities
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