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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 566–572 (Mi smj1981)  
This article is cited in 1 scientific paper (total in 1 paper)

Boundary behavior of the power series of the enlarged Bloch class

I. R. Kayumov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University, Kazan
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Abstract: We construct the classes of functions analytic in the unit disk, other than lacunary, and possessing the following property: If a function belongs to one of these classes and the sum of the squares of its coefficients is unbounded then there exists a set of positive measure on the circle where the function has no radial limits.
Keywords: analytic function, Bloch class, Stolz angle, radial limit.
Received: 29.01.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 3, Pages 450–455
DOI: https://doi.org/10.1007/s11202-009-0050-3
Bibliographic databases:
UDC: 517.544.7
Language: Russian
Citation: I. R. Kayumov, “Boundary behavior of the power series of the enlarged Bloch class”, Sibirsk. Mat. Zh., 50:3 (2009), 566–572; Siberian Math. J., 50:3 (2009), 450–455
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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