The Plemelj-Privalov theorem in Clifford analysis

DOI10.1016/j.crma.2009.01.029zbMath1169.30021OpenAlexW1963561539MaRDI QIDQ1009518

Ricardo Abreu-Blaya, Juan Bory-Reyes, Tania Moreno-García

Publication date: 2 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.01.029

zbMATH Keywords

Clifford analysisPlemelj-Provalov theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

A bimonogenic Cauchy transform on higher order Lipschitz classes ⋮ Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions ⋮ On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation ⋮ Hölder norm estimate for the Hilbert transform in Clifford analysis ⋮ On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Direct and inverse estimates for a singular Cauchy integral along a closed curve
• Cauchy transform on nonrectifiable surfaces in Clifford analysis
• Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\)
• THE PLEMELJ-PRIVALOV THEOREM FOR GENERALIZED HÖLDER CLASSES
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe

This page was built for publication: The Plemelj-Privalov theorem in Clifford analysis