BMO, boundedness of affine operators, and frames

DOI10.1016/j.acha.2004.05.005zbMath1069.42023OpenAlexW1976862588MaRDI QIDQ1765948

Jeffrey A. Hogan, John E. Gilbert, Joseph D. Lakey

Publication date: 23 February 2005

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2004.05.005

zbMATH Keywords

waveletsaffine systemsingular integral operatorBMOframesBessel condition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convergence and divergence of series and sequences of functions (40A30)

Related Items

Frequency-scale frames and the solution of the Mexican hat problem ⋮ Wavelets in Littlewood-Paley space, and Mexican hat completeness

Cites Work

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• A discrete transform and decompositions of distribution spaces
• A boundedness criterion for generalized Calderón-Zygmund operators
• Bessel sequences and affine frames
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Smooth molecular decompositions of functions and singular integral operators
• Boundedness results for operators with singular kernels on distribution spaces
• The wavelet transform, time-frequency localization and signal analysis
• Extensions of Hardy spaces and their use in analysis
• Characterizations of bounded mean oscillation

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