Equivalence of Haar bases associated with different dyadic systems

DOI10.1007/S12220-010-9148-XzbMath1219.42019OpenAlexW2086996211MaRDI QIDQ535598

Hugo Aimar, Luis Nowak, A. L. Bernardis

Publication date: 13 May 2011

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

Full work available at URL: http://cimec.org.ar/ojs/index.php/cmm/article/view/2962

zbMATH Keywords

spaces of homogeneous typeMuckenhoupt weightsHaar basisequivalence of bases

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)

Related Items (8)

On the geometry of spaces of homogeneous type and the democracy of Haar systems in Lorentz spaces ⋮ Unnamed Item ⋮ On Haar bases for generalized dyadic Hardy spaces ⋮ Haarlet analysis of Lipschitz regularity in metric measure spaces ⋮ Singular integrals with variable kernels in dyadic settings ⋮ 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

Cites Work

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• Square integrable martingales orthogonal to every stochastic integral
• A new class of unbalanced Haar wavelets that form an unconditional basis for \(L_ p\) on general measure spaces
• Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
• 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.)
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Some Maximal Inequalities

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