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Dyadic Fefferman–Stein inequalities and the equivalence of Haar bases on weighted Lebesgue spaces

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Publication:3082514
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DOI10.1017/S0308210509001796zbMath1214.42059OpenAlexW2040375032MaRDI QIDQ3082514

Luis Nowak, Hugo Aimar, A. L. Bernardis

Publication date: 10 March 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210509001796


zbMATH Keywords

spaces of homogeneous typeHaar basisFefferman-Stein inequalityequivalence of basesdyadic Muckenhoupt weights


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Other transformations of harmonic type (42C20)


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Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type ⋮ On the Representation of Functions by Absolutely Convergent Series by H -system




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