Geodesic
On Some Properties and Examples of Nevanlinna Domains
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 204-213

Voir la notice de l'article provenant de la source Math-Net.Ru

The properties of Nevanlinna domains are considered. These domains arise in the problems of approximation by polyanalytic functions. Several analytic and geometric properties (both new and earlier known) of Nevanlinna domains are described. In particular, a new method for constructing Nevanlinna domains with boundaries belonging to the class $\mathrm C^1$ is proposed, and new examples of such domains whose boundaries do not belong to the class $\mathrm C^{1,\alpha }$ for $\alpha \in (0,1)$ are presented. This method is based on the property of pseudocontinuation of a conformal mapping from the unit disk onto a Nevanlinna domain. 
@article{TM_2006_253_a14,
     author = {K. Yu. Fedorovskiy},
     title = {On {Some} {Properties} and {Examples} of {Nevanlinna} {Domains}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {204--213},
     publisher = {mathdoc},
     volume = {253},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_253_a14/}
}
TY  - JOUR
AU  - K. Yu. Fedorovskiy
TI  - On Some Properties and Examples of Nevanlinna Domains
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2006
SP  - 204
EP  - 213
VL  - 253
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2006_253_a14/
LA  - ru
ID  - TM_2006_253_a14
ER  - 
%0 Journal Article
%A K. Yu. Fedorovskiy
%T On Some Properties and Examples of Nevanlinna Domains
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2006
%P 204-213
%V 253
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2006_253_a14/
%G ru
%F TM_2006_253_a14
K. Yu. Fedorovskiy. On Some Properties and Examples of Nevanlinna Domains. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 204-213. http://geodesic.mathdoc.fr/item/TM_2006_253_a14/