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Sib. Èlektron. Mat. Izv., 2015, Volume 12, Pages 150–167 (Mi semr576)  

Real, complex and functional analysis

On classes of analytic functions in a disk with a characteristic R. Nevanlinny and $\alpha$-characteristic of weighted $L^p $ spaces

F. A. Shamoyan, V. A. Bednazh, O. V. Karbanovich

Bryansk State University, Bezhitskaya, 14, 241036, Bryansk, Russia

Abstract: Under certain restrictions on the weight function in the article studied classes of analytic functions in the disk, Nevanlinna's characteristic and $\alpha$-characteristic which belongs to the weighted $L^ p$ spaces.

Keywords: unit disk, analytic function, Nevanlinna characteristic function.

DOI: https://doi.org/10.17377/semi.2015.12.013

Full text: PDF file (561 kB)
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UDC: 517.53
MSC: 30J05,30J10
Received October 31, 2014, published February 26, 2015

Citation: F. A. Shamoyan, V. A. Bednazh, O. V. Karbanovich, “On classes of analytic functions in a disk with a characteristic R. Nevanlinny and $\alpha$-characteristic of weighted $L^p $ spaces”, Sib. Èlektron. Mat. Izv., 12 (2015), 150–167

Citation in format AMSBIB
\Bibitem{ShaBedKar15}
\by F.~A.~Shamoyan, V.~A.~Bednazh, O.~V.~Karbanovich
\paper On classes of analytic functions in a disk with a characteristic R.~Nevanlinny and $\alpha$-characteristic of weighted $L^p $ spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 150--167
\mathnet{http://mi.mathnet.ru/semr576}
\crossref{https://doi.org/10.17377/semi.2015.12.013}


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