Wavelet frames on Lipschitz curves and applications

DOI10.1007/BF02510696zbMath0977.42018OpenAlexW2060243093MaRDI QIDQ5929340

Li Xin Yan

Publication date: 8 January 2002

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

Full work available at URL: https://eudml.org/doc/59661

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesLipschitz curvestrace theoremwavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Wavelets frame associated to accretive function, Calderón-type reproducing formulae on Lipschitz curves and surfaces

Cites Work

• A discrete transform and decompositions of distribution spaces
• Ondelettes et intégrale de Cauchy sur les courbes lipschitziennes. (Wavelets and the Cauchy integral on Lipschitz curves)
• Describing functions: Atomic decompositions versus frames
• Inhomogeneous Calderón reproducing formula on spaces of homogeneous type
• Calderón-type reproducing formula and the \(Tb\) theorem
• Gabor frames and time-frequency analysis of distributions
• Wavelet and function spaces on Lipschitz curves
• \(H^p\) spaces of several variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item