Abstract
For the case\({\text{1< }}p {\text{< }}\infty {\text{,}} {\text{1}} \leqslant q \leqslant \infty , \tfrac{1}{p}< \alpha< 1, r \geqslant 0\), we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes AB r+αpq . Corollaries that are of the type of\(\Lambda ^{\tfrac{\alpha }{2}}\) are obtained. Bibliography:14 titles.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 217, 1994, pp. 172–217.
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Shirokov, N.A. Outer functions from the analytic O. V. Besov classes. J Math Sci 85, 1867–1897 (1997). https://doi.org/10.1007/BF02355296
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DOI: https://doi.org/10.1007/BF02355296