A note on the Bochner-Martinelli integral

DOI10.1016/j.amc.2012.02.069zbMath1247.32008OpenAlexW2020728718MaRDI QIDQ440826

Juan Bory-Reyes, Ricardo Abreu-Blaya

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.069

zbMATH Keywords

quaternionic analysisBochner-Martinelli integralAhlfors-David regular surfaces

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Cites Work

• A holomorphic extension theorem using Clifford analysis
• Cauchy transform and rectifiability in Clifford analysis
• Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\)
• On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary
• On the singular Bochner-Martinelli integral
• Weighted Cauchy transforms in Clifford analysis
• The Bochner–Martinelli transform with a continuous density: Davydov's theorem
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