Calderón-type reproducing formulae on Lipschitz curves and surfaces

DOI10.1017/S1446788700003566zbMath1023.42006OpenAlexW2125529088MaRDI QIDQ4534460

Tao Qian

Publication date: 31 July 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700003566

zbMATH Keywords

singular integralsClifford analysisJacobi operatorCalderón reproducing formula

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Functions of hypercomplex variables and generalized variables (30G35) General harmonic expansions, frames (42C15) Abstract harmonic analysis (43A99)

Cites Work

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• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
• Wavelet frames on Lipschitz curves and applications