Continuous and localized Riesz bases for \(L^2\) spaces defined by Muckenhoupt weights

DOI10.1016/j.jmaa.2015.05.003zbMath1322.42040OpenAlexW327109395MaRDI QIDQ2348426

Hugo Aimar, Wilfredo Ramos

Publication date: 12 June 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.05.003

zbMATH Keywords

Riesz basesMuckenhoupt weightsHaar waveletsbasis perturbationsCotlar's lemma

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

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• On the stability of frames and Riesz bases
• Orthonormal bases of regular wavelets in spaces of homogeneous type
• Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
• Perturbations of the Haar wavelet by convolution
• Weighted norm inequalities for maximal functions and singular integrals
• Perturbations of the Haar wavelet
• Weighted Norm Inequalities for the Hardy Maximal Function
• An introduction to frames and Riesz bases

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