Geodesic
Analysis on quasidisks: A unified approach through transmission and jump problems
Eric Schippers1 ; Wolfgang Staubach2
1University of Manitoba, Winnipeg, Canada
2Uppsala University, Sweden
EMS surveys in mathematical sciences, Tome 9 (2022) no. 1, pp. 31-97

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/emss/53
Classification : 30-XX
Mots-clés : Conformally non-tangential boundary value, Bergman space, Dirichlet space, Faber operator, Grunsky operator, jump problem, Schiffer operator, transmission, quasisymmetry, quasicircles

Eric Schippers  1   ; Wolfgang Staubach  2

1 University of Manitoba, Winnipeg, Canada
2 Uppsala University, Sweden 
Eric Schippers; Wolfgang Staubach. Analysis on quasidisks: A unified approach through transmission and jump problems. EMS surveys in mathematical sciences, Tome 9 (2022) no. 1, pp. 31-97. doi: 10.4171/emss/53
@article{10_4171_emss_53,
     author = {Eric Schippers and Wolfgang Staubach},
     title = {Analysis on quasidisks: {A} unified approach through transmission and jump problems},
     journal = {EMS surveys in mathematical sciences},
     pages = {31--97},
     year = {2022},
     volume = {9},
     number = {1},
     doi = {10.4171/emss/53},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/53/}
}
TY  - JOUR
AU  - Eric Schippers
AU  - Wolfgang Staubach
TI  - Analysis on quasidisks: A unified approach through transmission and jump problems
JO  - EMS surveys in mathematical sciences
PY  - 2022
SP  - 31
EP  - 97
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/emss/53/
DO  - 10.4171/emss/53
ID  - 10_4171_emss_53
ER  - 
%0 Journal Article
%A Eric Schippers
%A Wolfgang Staubach
%T Analysis on quasidisks: A unified approach through transmission and jump problems
%J EMS surveys in mathematical sciences
%D 2022
%P 31-97
%V 9
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/emss/53/
%R 10.4171/emss/53
%F 10_4171_emss_53

Cité par Sources :