Geodesic
Outer functions from the analytic О.\,V.~Besov classes
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 22, Tome 217 (1994), pp. 172-217

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

The outer functions, in the sense of the Nevalinna factorization, belonging to the analytic O. V. Besov classes $AB^{r+\alpha}_{pq}$ are completely described for $1$, $1\le q\le\infty$, $\frac 1p\alpha1$, $r\ge0$. There are corollaries of $\Lambda^\frac\alpha2$-theorems type. Bibliography: 14 titles. 
@article{ZNSL_1994_217_a12,
     author = {N. A. Shirokov},
     title = {Outer functions from the analytic {{\CYRO}.\,V.~Besov} classes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {172--217},
     publisher = {mathdoc},
     volume = {217},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a12/}
}
TY  - JOUR
AU  - N. A. Shirokov
TI  - Outer functions from the analytic О.\,V.~Besov classes
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1994
SP  - 172
EP  - 217
VL  - 217
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a12/
LA  - ru
ID  - ZNSL_1994_217_a12
ER  - 
%0 Journal Article
%A N. A. Shirokov
%T Outer functions from the analytic О.\,V.~Besov classes
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 172-217
%V 217
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a12/
%G ru
%F ZNSL_1994_217_a12
N. A. Shirokov. Outer functions from the analytic О.\,V.~Besov classes. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 22, Tome 217 (1994), pp. 172-217. http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a12/