L2-boundedness of the cauchy transform on smooth non-Lipschitz curves

DOI10.1017/S0027763000004463zbMath0773.42012OpenAlexW1568254487MaRDI QIDQ5288124

Jin-Keun Seo, Hyeonbae Kang

Publication date: 10 August 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004463

zbMATH Keywords

BMOCauchy transformCauchy kernelsingular integral kernels\(T(1)\)-theoremsmooth non-Lipschitz curves

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• Unnamed Item
• La solution des conjectures de Calderon
• A boundedness criterion for generalized Calderón-Zygmund operators
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Cauchy integrals on Lipschitz curves and related operators

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