On the compactness of the hypercomplex commutator in Hölder continuous functions spaces

DOI10.1007/s11785-009-0013-5zbMath1206.30064OpenAlexW2020335547MaRDI QIDQ1958679

Jean-Marie Vilaire, Juan Bory-Reyes, Ricardo Abreu-Blaya

Publication date: 4 October 2010

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

Full work available at URL: https://doi.org/10.1007/s11785-009-0013-5

zbMATH Keywords

commutatorsCauchy type integralDouglis algebras

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

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• Generalized Hypercomplex Function Theory
• Conjugate hyperharmonic functions and cauchy type integrals in douglis analysis
• Commutators and singular integral operators in Clifford analysis
• A function‐theoretic approach to elliptic systems of equations in two variables