Dirichlet spaces of domains bounded by quasicircles

DOI10.1142/S0219199719500226zbMath1441.30055arXiv1705.01279MaRDI QIDQ5107250

David Radnell, Wolfgang Staubach, Eric D. Schippers

Publication date: 17 April 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01279

zbMATH Keywords

quasicirclesDirichlet spacesFaber seriesmultiply-connected domainsGrunsky operatorFaber operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (max. 100)

A Kreiss type inequality for rational functions on general domains ⋮ Analysis on quasidisks: a unified approach through transmission and jump problems ⋮ Transmission of harmonic functions through quasicircles on compact Riemann surfaces ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Schiffer operators and calculation of a determinant line in 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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