Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces

DOI10.1155/2010/791358zbMath1191.15006OpenAlexW2024834403WikidataQ59253986 ScholiaQ59253986MaRDI QIDQ978484

Fred Brackx, Hennie De Schepper, Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 24 June 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228858

zbMATH Keywords

fractal boundaryHermitean Clifford analysisAhlfors-David regular boundarycontinuous matrix functionsHermitean Dirac operatorsHermitean Téodorescu transform

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Matrix exponential and similar functions of matrices (15A16)

Related Items

Duality for Hermitean systems in \(\mathbb R^{2n}\) ⋮ A Hilbert transform for matrix functions on fractal domains ⋮ Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis ⋮ A Hermitian Cauchy formula on a domain with fractal boundary ⋮ Boundary value problems associated to a Hermitian Helmholtz equation

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