About some class of holomorphic functions in the disk
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 244-255
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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.
@article{ZNSL_2001_282_a14,
author = {F. A. Shamoyan and E. N. Shubabko},
title = {About some class of holomorphic functions in the disk},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {244--255},
year = {2001},
volume = {282},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a14/}
}
F. A. Shamoyan; E. N. Shubabko. About some class of holomorphic functions in the disk. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 244-255. http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a14/