On Haar bases for generalized dyadic Hardy spaces

DOI10.1216/RMJ-2013-43-3-697zbMath1354.42050OpenAlexW2012111007MaRDI QIDQ2393423

A. L. Bernardis, Hugo Aimar, Luis Nowak

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1375361970

zbMATH Keywords

spaces of homogeneous typeunconditional basisHaar basisHardy and Lebesgue spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General harmonic expansions, frames (42C15) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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Cites Work

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• Equivalence of Haar bases associated with different dyadic systems
• A decomposition into atoms of distributions on spaces of homogeneous type
• Parabolic maximal functions associated with a distribution
• An atomic decomposition of distributions in parabolic \(H^p\) spaces
• Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
• On quasi-metric and metric spaces
• Extensions of Hardy spaces and their use in analysis
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Boundedness of operators on Hardy spaces via atomic decompositions

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