Analysis on quasidisks: A unified approach through transmission and jump problems

EMS Surveys in Mathematical Sciences

article

Eric Schippers¹  Wolfgang Staubach² 

[1] University of Manitoba;Uppsala University

关键词: Conformally non-tangential boundary value;    Bergman space;    Dirichlet space;    Faber operator;    Grunsky operator;    jump problem;    Schiffer operator;    transmission;    quasisymmetry;    quasicircles;   

DOI  :  10.4171/emss/53

学科分类：社会科学、人文和艺术（综合）

来源: European Mathematical Society

【 摘 要 】

We give an exposition of results from a crossroad between geometric function theory, harmonic analysis, boundary value problems, and approximation theory, which characterize quasicircles. We will specifically expose the interplay between the jump decomposition, singular integral operators, approximation by Faber series, and the Grunsky inequalities. Our unified point of view is made possible by the concept of transmission.

【 授权许可】

CC BY