Area Nevanlinna Type Classes of Analytic Functions in the Unit Disk and Related Spaces

Author:

Shamoyan Romi1,Maksakov Seraphim1

Affiliation:

1. Department of Mathematics and Physics, Bryansk State University, Bezhitskaya st. 14, 241036, Bryansk , Russia

Abstract

Abstract The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concern- ing zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference58 articles.

1. [1] K. Avetisyan: On representation of some classes of subharmonic functions in the unit disk and in the half plane. Izv. Nats. Acad. Armenii, Matematika. 29 (1) (1994) 1-13. (In Russian)

2. [2] V.A. Bednazh, O.V. Karbanovich, F.A. Shamoyan: On some weighted spaces of meromorphic functions with restrictions of the Nevanlinna characteristic. Modern problems of complex and harmonic analysis: Abstracts of conference, Bryansk St. Univ. (2014) p. 56. (In Russian)

3. [3] E. Beller: Zeros of Ap functions and related classes of analytic functions. Israel Jour. Math. 22 (1975) 68-80. 1

4. [4] E. Beller: Factorization for non-Nevanlinna classes of analytic functions. Israel Jour. Math. 27 (3-4) (1977) 320-330.

5. [5] I.E. Chyzhykov: Growth of analytic functions in the unit disc and complete measure in the sense of Grishin. Mat. Stud. 29 (1) (2008) 35-44.

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