Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 173-174
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V. I. Morkunas. On Cauchy type integrals in domains with smooth boundary. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 173-174. http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a17/
@article{ZNSL_1987_157_a17,
author = {V. I. Morkunas},
title = {On {Cauchy} type integrals in domains with smooth boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {173--174},
year = {1987},
volume = {157},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a17/}
}
TY - JOUR
AU - V. I. Morkunas
TI - On Cauchy type integrals in domains with smooth boundary
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 173
EP - 174
VL - 157
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a17/
LA - ru
ID - ZNSL_1987_157_a17
ER -
%0 Journal Article
%A V. I. Morkunas
%T On Cauchy type integrals in domains with smooth boundary
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 173-174
%V 157
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a17/
%G ru
%F ZNSL_1987_157_a17
There exist a Jordan domain $G$ with $C^1$-boundary and a Cauchy integral $f$ in $G$ such that $(f\circ\varphi)\varphi'$ is not a Cauchy integral in the unit disc $\mathbb D$, $\varphi$ being a conformal map of $\mathbb D$ onto $G$.
