From Cauchy, via Martinelli-Bochner and Leray, to the Henkin-Ramirez kernel

DOI10.1007/s40590-023-00559-3MaRDI QIDQ6189069

R. Michael Range

Publication date: 12 January 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Martinelli-Bochner formulaHenkin-Ramirez kernelLeray-formula

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Cites Work

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• Integral kernels and Hölder estimates for \({\bar \partial}\) on pseudoconvex domains of finite type in \({\mathbb{C}}^ 2\)
• Integral representations and estimates in the theory of the \({\bar\partial}\)-Neumann problem
• Ein Approximationssatz auf streng pseudokonvexen Gebieten
• Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
• Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
• Sopra una dimostrazione di R. Fueter per un teorema di Hartogs
• Analytic and meromorphic continuation by means of Green's formula
• Integral Representations in Complex Analysis: From Classical Results to Recent Developments
• The Cauchy integral for functions of several complex variables
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS