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

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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.

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[34] E.G. Rodikova: On zeros of analytic classes of Privalov. Abstracts of Saratov winter school, Saratov 1 (39) (2012) 141-142. (In Russian)

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[36] F.A. Shamoyan: Description of closed ideals and some issues of factorization in algebras of growing functions, analytic in the disk. Izv. Acad. nauk ArmSSR, Matematika 5 (1970) 450-472. (In Russian)

[37] F.A. Shamoyan: Djrbashian's factorization theorem and characterization of zeros of analytic functions in a disk with bounded growth rate. Izv. Acad. nauk ArmSSR, Matematika 13 (1978) 405-422. (In Russian)

[38] F.A. Shamoyan: Some remarks to parametric representation of Nevanlinna-Djrbashian. Mat. zametki. 52 (1992) 128-140. (In Russian)

[39] F.A. Shamoyan: Parametric representation and description of zero sets of weighted classes of holomorphic functions in the disk. Sib. Math. Journ. 40 (1999) 1422-1440. (In Russian)

[40] F.A. Shamoyan: Weighted spaces of analytic functions with mixed norm. Bryansk St. Univ., Bryansk, Bryansk State University Publishing House (2014). (In Russian)

[41] F.A. Shamoyan, V.A. Bednazh, O.V. Karbanovich: On classes of analytic functions in a disk with a characteristic R. Nevanlinny and -characteristic of weighted Lp spaces. Sib. Elektron. Mat. Izv. 12 (2015) 150-167. (In Russian)

[42] F.A. Shamoyan, V.A. Bednazh, O.V. Prihodko: On zero sets of some weighted classes of analytc functions in the disk. Vesthik Bryanskogo Universiteta, Bryansk 4 (2008) 85-92. (In Russian)

[43] F.A. Shamoyan, E.G. Rodikova: On characterization of root sets of a weighted class of analytic functions in a disk. Vladikavkaz Mat. Jour. 16 (3) (2014) 64-75. (In Russian)

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[49] R.F. Shamoyan, O.R. Mihic: On zeros of some analytic spaces of area Nevanlinna type in halfplane. Trudy Petrozavodsk St. Univ., Matematika. (17) (2010) 67-72.

[50] R.F. Shamoyan, O.R. Mihic: On some new theorems on certain analytic and meromorphic classes of Nevanlinna type on the complex plane. Kragujevac Math. Journal 37 (1) (2013) 65-85.

[51] R.F. Shamoyan, O.R. Mihic: On zeros sets and embeddings of some new analytic function spaces in the unit disk. Kragujevac Math. Journal 38 (2) (2014) 229-244.

[52] R. Shamoyan, A. Shipka: Integral operators, embedding theorems and Taylor coefficients of area Nevanlinna type spaces of several variables and related problems. Preprint. (2018)

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[54] S.V. Shvedenko: The Hardy classes and related spaces of analytic functions in the unit circle, in the ball and in the polydisk. Itogi nauki i tehniki, Mat. analiz. 23 (1985) 3-124.

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[56] M. Tsuji: Canonical product for a meromorphic functions in a unit circle. Journ. Math. Jap. 8 (1) (1956) 7-19.

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[58] V. Zmorovich: On certain spaces of analytic functions in circular rings. Mat. Sbornik 32 (1953) 643-652. (In Russian)

Journal Information

CiteScore 2017: 0.33

SCImago Journal Rank (SJR) 2017: 0.128
Source Normalized Impact per Paper (SNIP) 2017: 0.476

Mathematical Citation Quotient (MCQ) 2017: 0.43

Target Group

researchers in the fields of: algebraic structures, calculus of variations, combinatorics, control and optimization, cryptography, differential equations, differential geometry, fuzzy logic and fuzzy set theory, global analysis, mathematical physics and number theory

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