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Outer functions from the analytic O. V. Besov classes. / Shirokov, N. A.
в: Journal of Mathematical Sciences , Том 85, № 2, 1997, стр. 1867-1897.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Outer functions from the analytic O. V. Besov classes
AU - Shirokov, N. A.
N1 - Funding Information: The research described in this paper was made possible in part by Grant No. NS5000 from the International Science Foundation.
PY - 1997
Y1 - 1997
N2 - For the case 1 < p < ∞, 1 ≤ q ≤ ∞, 1/p < α < 1, r ≥ 0, we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes ABpqr+α. Corollaries that are of the type of Λα/2-theorems are obtained.
AB - For the case 1 < p < ∞, 1 ≤ q ≤ ∞, 1/p < α < 1, r ≥ 0, we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes ABpqr+α. Corollaries that are of the type of Λα/2-theorems are obtained.
UR - http://www.scopus.com/inward/record.url?scp=0012718515&partnerID=8YFLogxK
U2 - 10.1007/BF02355296
DO - 10.1007/BF02355296
M3 - Article
AN - SCOPUS:0012718515
VL - 85
SP - 1867
EP - 1897
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 86661457