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.

UDC: 517.53

MSC: 30J05,30J10

Received October 31, 2014, published February 26, 2015

DOI: 10.17377/semi.2015.12.013