Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases

DOI10.1007/s00041-012-9226-5zbMath1263.26007OpenAlexW2063413320MaRDI QIDQ1759436

Hnia Ben Braiek, Mourad Ben Slimane

Publication date: 20 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00041-012-9226-5

zbMATH Keywords

anisotropic Hölder regularitydirectional regularityanisotropic Triebel wavelet coefficientsanisotropic wavelet leaders

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Lipschitz (Hölder) classes (26A16) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (6)

Anisotropic two-microlocal spaces and regularity ⋮ Criteria of pointwise and uniform directional Lipschitz regularities on tensor products of Schauder functions ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases ⋮ Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures ⋮ Baire generic results for the anisotropic multifractal formalism

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• Multifractal formalism and anisotropic selfsimilar functions
• Ridgelets: a key to higher-dimensional intermittency?
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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