Directional multifractal analysis in the \(L^p\) setting
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Publication:2305182
DOI10.1155/2019/1691903zbMath1436.42041OpenAlexW2961294628MaRDI QIDQ2305182
Ines Ben Omrane, Moez Ben Abid, Farouq Alshormani, Mourad Ben Slimane, Borhen Halouani
Publication date: 10 March 2020
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/1691903
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80) Hausdorff and packing measures (28A78)
Cites Work
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- Baire generic results for the anisotropic multifractal formalism
- Anisotropic two-microlocal spaces and regularity
- Parabolic Besov regularity for the heat equation
- Directional regularity criteria
- Analysis and detection of surface discontinuities using the 3D continuous shearlet transform
- Anisotropic self-affine properties of experimental fracture surfaces
- Operator scaling stable random fields
- Pointwise and directional regularity of nonharmonic Fourier series
- Estimations of Hölder regularities and direction of singularity by Hart Smith and curvelet transforms
- Parabolic maximal functions associated with a distribution. II
- Singularity spectrum of fractal signals from wavelet analysis: Exact results
- Wavelet analysis and chirps
- Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
- Anisotropic analysis of some Gaussian models
- Wedgelets: Nearly minimax estimation of edges
- Wavelet characterizations for anisotropic Besov spaces
- \(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity
- \(p\)-exponent and \(p\)-leaders. II: Multifractal analysis. relations to detrended fluctuation analysis
- Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases
- Pointwise regularity criteria
- The singularity spectrum for general Sierpiński carpets
- Analysis of a fractal boundary: the graph of the Knopp function
- The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields
- General Hausdorff functions, and the notion of one-sided measure and dimension
- Wavelet analysis of fractal boundaries. II: Multifractal analysis
- Wavelet analysis of fractal boundaries. I: Local exponents
- EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS
- SHEARLET TRANSFORMS AND DIRECTIONAL REGULARITIES
- Orthonormal bases of compactly supported wavelets
- Multifractal formalism and anisotropic selfsimilar functions
- Fractal Analysis of Surface Roughness by Using Spatial Data
- WAVELET CHARACTERIZATIONS FOR ANISOTROPIC BESOV SPACES WITH 0<p<1
- Ridgelets: a key to higher-dimensional intermittency?
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Self-Similar Anisotropic Texture Analysis: The Hyperbolic Wavelet Transform Contribution
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