Oscillating singularities in Besov spaces.

DOI10.1016/J.MATPUR.2004.01.001zbMath1045.28001OpenAlexW2014921652MaRDI QIDQ1429963

Clothilde Mélot

Publication date: 27 May 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.01.001

zbMATH Keywords

Besov spacesmultifractal analysisoscillating singularitiespointwise regularityHausdorff dimension estimates

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (7)

Baire typical results for mixed Hölder spectra on product of continuous Besov or oscillation spaces ⋮ Mixed wavelet leaders multifractal formalism for Baire generic functions in a product of intersections of Hölder spaces with non-continuous Besov spaces ⋮ Mixed wavelet leaders multifractal formalism in a product of critical Besov spaces ⋮ WAVELET ANALYSIS OF NONLINEAR SELF-SIMILAR DISTRIBUTIONS WITH OSCILLATING SINGULARITY ⋮ Regularity criteria for almost every function in Sobolev spaces ⋮ On the Baire generic validity of the \(t\)-multifractal formalism in Besov and Sobolev spaces ⋮ Baire generic results for the anisotropic multifractal formalism

Cites Work

• Unnamed Item
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Singularity spectrum of multifractal functions involving oscillating singularities
• On lacunary wavelet series.
• On the Frisch-Parisi conjecture
• Multifractal Formalism for Functions Part I: Results Valid For All Functions
• Oscillation spaces: Properties and applications to fractal and multifractal functions
• Wavelet methods for pointwise regularity and local oscillations of functions

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