Faber polynomials with applications to univalent functions with quasiconformal extensions

DOI10.1007/s11425-009-0062-2zbMath1181.30014OpenAlexW2083710056MaRDI QIDQ1047842

Yuliang Shen

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0062-2

zbMATH Keywords

Faber polynomialsquasiconformal mappingGrunsky operator

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (15)

Replies to the comments on ``Faber series method for plane problems of an arbitrarily shaped inclusion ⋮ Universal Teichmüller space and BMO ⋮ Dirichlet spaces of domains bounded by quasicircles ⋮ On the compactness of Grunsky differential operators ⋮ 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 ⋮ On Grunsky inequalities and the exact domain of variability of the Grunsky functional ⋮ Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Bergman orthogonal polynomials and the Grunsky matrix ⋮ Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator ⋮ On quasisymmetric homeomorphisms ⋮ 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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