Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator

DOI10.1007/s11785-016-0598-4zbMath1391.30054OpenAlexW2536338359MaRDI QIDQ682077

Wolfgang Staubach, Eric D. Schippers

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11785-016-0598-4

zbMATH Keywords

Bergman spaceJordan curvesquasicirclesGrunsky operatorPlemelj-Sokhotski jump decompositionSchiffer operator

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Quasiconformal mappings in the complex plane (30C62)

Related Items (11)

A Kreiss type inequality for rational functions on general domains ⋮ Dirichlet spaces of domains bounded by quasicircles ⋮ A survey of scattering theory on Riemann surfaces with applications in global analysis and geometry ⋮ Analysis on quasidisks: a unified approach through transmission and jump problems ⋮ Transmission of harmonic functions through quasicircles on compact Riemann surfaces ⋮ Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators ⋮ On the BMO boundedness of the Cauchy integral on a chord-arc curve ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ A Model of the Teichmüller space of genus-zero bordered surfaces by period maps ⋮ Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles

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