Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations

DOI10.1080/10652469.2022.2028144zbMath1504.42101OpenAlexW4210611709MaRDI QIDQ5102222

Jaime Navarro

Publication date: 6 September 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2022.2028144

zbMATH Keywords

regularityweak solutionBesov spacesadmissible functioncontinuous wavelet transform with rotations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General integral transforms (44A05) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

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• Pointwise convergence of the Calderón reproducing formula
• The wavelet transform of distributions
• How fast and in what sense(s) does the Calderón reproducing formula converge?
• Convergence of the continuous wavelet transform with rotations in higher dimensions
• Inversion formulas for the continuous wavelet transform
• Boundedness of the wavelet integral operator on weighted function spaces
• CONVERGENCE OF THE CONTINUOUS WAVELET TRANSFORMS ON THE ENTIRE LEBESGUE SET OF L_p-FUNCTIONS
• BESOV NORMS IN TERMS OF THE CONTINUOUS WAVELET TRANSFORM. APPLICATION TO STRUCTURE FUNCTIONS

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