On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary

DOI10.1007/s11785-006-0006-6zbMath1178.32001OpenAlexW2161996735MaRDI QIDQ998120

Ricardo Abreu-Blaya, Juan Bory-Reyes, Michael V. Shapiro

Publication date: 10 August 2007

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-006-0006-6

zbMATH Keywords

quaternionic analysisrectifiabilityBochner-Martinelli integral

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other generalizations of function theory of one complex variable (32A30) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (6)

Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ A note on the Bochner-Martinelli integral ⋮ The Bochner–Martinelli transform with a continuous density: Davydov's theorem ⋮ A discrete Bochner-Martinelli formula ⋮ A holomorphic extension theorem using Clifford analysis ⋮ Directional quaternionic hilbert operators

This page was built for publication: On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary