Para-accretive functions and Hardy spaces

DOI10.1007/s00020-011-1915-yzbMath1266.42053OpenAlexW1965931528MaRDI QIDQ421093

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

Publication date: 23 May 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1915-y

zbMATH Keywords

Hardy spaceatomic decompositionBMOapproximation of the identityCalderón reproducing formulaextension of operatorspara-accretive function

Mathematics Subject Classification ID

(H^p)-spaces (42B30)

Related Items (3)

A study of one-sided singular integral and function space via reproducing formula ⋮ \(Tb\) theorem for the generalized singular integral operator on product Lipschitz spaces with para-accretive functions ⋮ Weighted variable Hardy spaces associated with para-accretive functions and boundedness of Calderón-Zygmund operators

Cites Work

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• Calderón-type reproducing formula and the \(Tb\) theorem
• Hardy spaces and the \(Tb\) Theorem
• A boundedness criterion via atoms for linear operators in Hardy spaces
• Duality in spaces of finite linear combinations of atoms
• On the $H^1$--$L^1$ boundedness of operators
• Boundedness of operators on Hardy spaces via atomic decompositions
• Some Maximal Inequalities
• Locally bounded linear topological spaces

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