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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[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] E. Beller: Zeros of Ap functions and related classes of analytic functions. Israel Jour. Math. 22 (1975) 68-80. 1
[4] E. Beller: Factorization for non-Nevanlinna classes of analytic functions. Israel Jour. Math. 27 (3-4) (1977) 320-330.
[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.
[6] I.E. Chyzhykov: Zero distribution and factorization of analytic functions of slow growth in the unit disc. Proc. Amer. Math. Soc. 141 (2013) 1297-1311.
[7] I.E. Chyzhykov: Growth of p-th means of analytic and subharmonic function in the unit disk and angular distribution of zeros. arXiv:1509.02141 (2015) 1-19.
[8] I.E. Chyzhykov S. Skaski: Growth zero distribution and factorization of analytic functions of moderate growth in the unit disc Blashke products and their applications. Fields Inst. Comm. 65 (2013) 159-173.
[9] M.M. Djrbashian: On a problem of representation of analytic functions. Soobsch. Inst. Mat. i Meh. AN Arm. SSR 2 (1948) 3-40. (In Russian)
[10] M.M. Djrbashian: On parametric representation of some classes of meromorphic functions in the unit disk. Dokl. AN SSSR. 157 (1964) 1024-1027. (in Russian)
[11] M.M. Djrbashian: Integral transforms and representation in complex plane. Nauka GITTL. Moscow (1966). (In Russian)
[12] M.M. Djrbashian: The factorization theory of functions meromorphic in the unit disk. Mat. Sb. 79 (121) (1969) 517-615. (In Russian)
[13] A.M. Djrbashian G.V. Mikaelyan: On boundary properties of Blaschke type products. Izv. Nats. AN Armenii Matematika 26 (1991) 435-442. (In Russian)
[14] A.A. Goldberg I.V. Ostrovskii: On distribution of values of meromorphic functions. Nauka. Moscow (1970). (In Russian)
[15] G. Hardy J. Littlwood G. Polia: Inequalities. GITTL Moscow (1948). (In Russian)
[16] W. Hayman: Meromorphic functions. Mir Moscow (1966). (In Russian)
[17] A. Heipler: The zeros of functions in Nevanlinna's area class. Israel Jour. Math. 34 (1-2) (1979) 1-11.
[18] S.Ya. Kasyaniuk: On functions from A and H class in case of circular rings. Mat. Sb. 42 (84) (1957) 301-326. (In Russian)
[19] V.I. Krylov: On functions regular in half plane. Mat. Sb. 6 (48) (1939) 95-138. (In Russian)
[20] I.S. Kursina: Factorization and parametric representation of weighted classes of analytic functions: the thesis abstract. Voronezh State Univ. Voronezh 4 (2000) 43-54. (In Russian)
[21] G.U. Matevosyan: On an factorization of functions meromorphic in multiconnected domains and applications. Izv. AN Armenii Matematika 9 (1974) 387-408. (In Russian)
[22] G.U. Matevosyan: An analogue of N(w) class in case of circular rings. Izv. AN Armenii Matematika. 21 (2) (1977) 173-182. (In Russian)
[23] R. Nevanlinna: Single-Valued Analytic Functions. Gostehizdat Moscow (1941). (In Russian)
[24] O.V. Ohlupina: Description of a class of subharmonic functions in the unit disk whose Nevanlinna's characteristic is in wheigted Lp-spaces. Vestnik Samarskogo Univ. 9/1 (59) (2008) 108-120. (In Russian)
[25] O.V. Ohlupina: Parametric representation of some classes of subharmonic functions in a half plane with characteristic from weighted Lp-spaces. Vestnik Bryanskogo Univ. Bryansk State Univ. 4 (2010) 24-36. (In Russian)
[26] O.V. Ohlupina: Green type potentials and integral representation of wheigted classes of subharmonic functions: the PhD thesis abstract. (In Russian) (2012)
[27] J. Ortega-Cerda J. Bruna: On Lp-solutions of the Laplace equation and zeros of holomorphic functions. Annali della Scuola Normale de Pisa 24 (1997) 571-591.
[28] O.V. Prihodko: On root sets of some area Nevanlinna type spaces in angular domains on a complex plane. Vestnik Bryanskogo Univ. Bryansk State Univ. Bryansk 4 (2010) 36-40. (In Russian)
[29] I.I. Privalov: Boundary properties of single-valued analytic functions. Moscow St. Univ. Moscow (1941). (In Russian)
[30] I.I. Privalov: Boundary properties of analytic functions. Gostekhizdat Moscow and Leningrad (1950). (In Russian)
[31] I.I. Privalov P.I. Kuznetsov: Boundary properties and various classes of harmonic and subharmonic functions defined in arbitrary domains. Mat. Sbornik 6 (48) (1939) 345-376. (In Russian)
[32] E.G. Rodikova: Factorization and description of zero sets of a class of functions analytic in the unit disk. Sib. Elektron. Mat. Izv. 11 (2014) 52-63. (In Russian)
[33] E.G. Rodikova: Factorization root sets and interpolation in weighted classes of analytic functions. Dissertation Bryansk (2014) 121 p. (In Russian) (2014)
[34] E.G. Rodikova: On zeros of analytic classes of Privalov. Abstracts of Saratov winter school Saratov 1 (39) (2012) 141-142. (In Russian)
[35] E. Seneta: Regularly varying functions. Nauka Moscow (1985). (In Russian)
[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)
[44] F.A. Shamoyan E.N. Shubabko: Parametrical representations of some classes of holomorfic functions in the disc. Complex Analysis Operators and Related Topics Oper. Theory Adv. Appl 113 (2000) 331-338. (In Russian)
[45] F.A. Shamoyan E.N. Shubabko: On a class of holomorphic functions in a disk. Zapiski Nauchnykh Seminarov POMI. 282 (2001) 244-255. (In Russian)
[46] F.A. Shamoyan E.N. Shubabko: Introduction in the theory of Lp-classes of meromorphic functions. Bryansk State University Publishing House (2009). (In Russian)
[47] R.F. Shamoyan: On new parametric representations of analytic area Nevanlinna type classes in a circular ring K on a complex plane C. Jour. Sib. Fed. Univ. Math. Phys. 6 (1) (2013) 114-119.
[48] R.F. Shamoyan H. Li: Descriptions of zero sets and parametric representations of certain new analytic area Nevanlinna type spaces in the unit disk. Kragujevac Journal of Mathematics 34 (2010) 73-89.
[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)
[53] S.V. Shvedenko: Canonical products of Blashke type for spaces of area Nevanlinna type. Mat. Zametki. 37 (2) (1985) 212-219. (In Russian)
[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.
[55] E. Stein: Singular integrals and differentiability properties of functions. Princeton Univ. Press New Jersey (1970).
[56] M. Tsuji: Canonical product for a meromorphic functions in a unit circle. Journ. Math. Jap. 8 (1) (1956) 7-19.
[57] M. Tsuji: Potential Theory in modern function theory. Maruzen Tokyo (1959).
[58] V. Zmorovich: On certain spaces of analytic functions in circular rings. Mat. Sbornik 32 (1953) 643-652. (In Russian)