Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 22, Tome 217 (1994), pp. 172-217
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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/
@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},
year = {1994},
volume = {217},
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
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
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a12/
%G ru
%F ZNSL_1994_217_a12
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, $1\le q\le\infty$, $\frac 1p<\alpha<1$, $r\ge0$. There are corollaries of $\Lambda^\frac\alpha2$-theorems type. Bibliography: 14 titles.
