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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.
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
Linking options:
https://www.mathnet.ru/eng/semr576 https://www.mathnet.ru/eng/semr/v12/p150
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Abstract page: | 313 | Full-text PDF : | 83 | References: | 39 |
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