Abstract:
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 $1<p<\infty$, $1\le q\le\infty$, $\frac 1p<\alpha<1$, $r\ge0$. There are corollaries of $\Lambda^\frac\alpha2$-theorems type. Bibliography: 14 titles.