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

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 150–167
DOI: https://doi.org/10.17377/semi.2015.12.013 (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

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

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.

Received October 31, 2014, published February 26, 2015

Document Type: Article

UDC: 517.53

MSC: 30J05,30J10

Language: Russian

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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https://www.mathnet.ru/eng/semr/v12/p150

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