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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 217, Pages 172–217 (Mi znsl5967)

This article is cited in 5 papers

Outer functions from the analytic Î. V. Besov classes

N. A. Shirokov

Civil Aviation Academy, St. Petersburg

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.

UDC: 539.12

Received: 19.12.1993


 English version:
Journal of Mathematical Sciences (New York), 1997, 85:2, 1867–1897

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© Steklov Math. Inst. of RAS, 2024