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Sib. Èlektron. Mat. Izv., 2017, Volume 14, Pages 264–273
(Mi semr783)
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This article is cited in 1 scientific paper (total in 1 paper)
Real, complex and functional analysis
Multiple interpolation for Nevanlinna type spaces
E. G. Rodikova Bryansk State University,
str. Bezhitskaya, 14,
241036, Bryansk,Russia
Abstract:
In this paper we solve the multiple interpolation problem in the class of analytic functions in the unit disk with the Nevanlinna characteristic from $L^p$-spaces under the condition that interpolation nodes are contained in a finite union of Stolz angles and we describe the principal parts of a Laurent series of meromorphic functions with the same restrictions on the Nevanlinna characteristic.
Keywords:
meromorphic function, multiple interpolation, a Laurent series, principal parts, the Nevanlinna characteristic.
DOI:
https://doi.org/10.17377/semi.2017.14.024
Full text:
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UDC:
517.53
MSC: 30E05; 30D35 Received August 9, 2016, published March 24, 2017
Citation:
E. G. Rodikova, “Multiple interpolation for Nevanlinna type spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 264–273
Citation in format AMSBIB
\Bibitem{Rod17}
\by E.~G.~Rodikova
\paper Multiple interpolation for Nevanlinna type spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 264--273
\mathnet{http://mi.mathnet.ru/semr783}
\crossref{https://doi.org/10.17377/semi.2017.14.024}
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http://mi.mathnet.ru/eng/semr783 http://mi.mathnet.ru/eng/semr/v14/p264
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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E. G. Rodikova, V. A. Bednazh, “Ob interpolyatsii v klassakh I.I. Privalova v kruge”, Sib. elektron. matem. izv., 16 (2019), 1762–1775
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