Dirichlet problem and Sokhotski-Plemelj jump formula on Weil-Petersson class quasidisks

DOI10.5186/aasfm.2016.4108zbMath1338.31006OpenAlexW2555314778MaRDI QIDQ2790811

Wolfgang Staubach, David Radnell, Eric D. Schippers

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4108

zbMATH Keywords

Dirichlet problemquasicirclesquasiconformal extensionquasidiscschord-arc curvesSokhotski-Plemelj jump decomposition

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25) Quasiconformal mappings in the complex plane (30C62) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (4)

Dirichlet spaces of domains bounded by quasicircles ⋮ Comparison Moduli Spaces of Riemann Surfaces ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks

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