The role of an integration identity in the analysis of the Cauchy-Leray transform

DOI10.1007/s11425-017-9115-5zbMath1405.32005arXiv1704.05381OpenAlexW2963847605MaRDI QIDQ724406

Loredana Lanzani, Elias M. Stein

Publication date: 25 July 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05381

zbMATH Keywords

Cauchy integralbounded strongly \(\mathbb C\)-linearly convex domain in \(\mathbb C^n\)Cauchy-Leray transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Singular integrals of functions in several complex variables (32A55)

Related Items

ON HÖLDER ESTIMATES FOR CAUCHY TRANSFORMS ON CONVEX DOMAINS IN ℂ 2 ⋮ The Leray transform: factorization, dual \textit{CR} structures, and model hypersurfaces in \(\mathbb{CP}^2\) ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

Cites Work

• Unnamed Item
• The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness
• The spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\)
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• On Hardy spaces in complex ellipsoids
• Complex convexity and analytic functionals
• Cauchy-type integrals in several complex variables
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• Cauchy integrals on Lipschitz curves and related operators
• Notions of convexity

This page was built for publication: The role of an integration identity in the analysis of the Cauchy-Leray transform