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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 282, Pages 244–255 (Mi znsl1516)

This article is cited in 2 papers

About some class of holomorphic functions in the disk

F. A. Shamoyan, E. N. Shubabko

I. G. Petrovsky Bryansk State Pedagogical University

Abstract: The paper introduces new parametric representation of the class of holomorphic functions in the unit disk the Nevanlinna characteristic for which has power growth near the boundary of the disk. All the parameters of the representation in question are determined in terms of the values of the function. Moreever, the set of multipliers from the class in question to the classes of Hardy and Bergman and the disk-algebra is described completely.

UDC: 517.5

Received: 10.04.2001


 English version:
Journal of Mathematical Sciences (New York), 2004, 120:5, 1784–1790

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