Geodesic
On zeros of some analytic spaces of area Nevanlinna type in halfplane
Problemy analiza, no. 17 (2010), pp. 67-72 
R. F. Shamoyan; O. R. Mihić. On zeros of some analytic spaces of area Nevanlinna type in halfplane. Problemy analiza, no. 17 (2010), pp. 67-72. http://geodesic.mathdoc.fr/item/PA_2010_17_a6/
@article{PA_2010_17_a6,
     author = {R. F. Shamoyan and O. R. Mihi\'c},
     title = {On zeros of some analytic spaces of area {Nevanlinna} type in halfplane},
     journal = {Problemy analiza},
     pages = {67--72},
     year = {2010},
     number = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2010_17_a6/}
}
TY  - JOUR
AU  - R. F. Shamoyan
AU  - O. R. Mihić
TI  - On zeros of some analytic spaces of area Nevanlinna type in halfplane
JO  - Problemy analiza
PY  - 2010
SP  - 67
EP  - 72
IS  - 17
UR  - http://geodesic.mathdoc.fr/item/PA_2010_17_a6/
LA  - en
ID  - PA_2010_17_a6
ER  - 
%0 Journal Article
%A R. F. Shamoyan
%A O. R. Mihić
%T On zeros of some analytic spaces of area Nevanlinna type in halfplane
%J Problemy analiza
%D 2010
%P 67-72
%N 17
%U http://geodesic.mathdoc.fr/item/PA_2010_17_a6/
%G en
%F PA_2010_17_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce two new scales of spaces of Nevanlinna type in a halfplane $C_{+}$ and provide descriptions of their zero sets and based on it we present parametric representations of these classes.

[1] Djrbashian A. M., “Blascke type functions for the halfplane”, Dokl. Soviet Math., 20 (1979), 607–610

[2] Djrbashian A. M., Functions of a bounded type in the halfplane, Springer, New-York, 2005

[3] Hille E., Tamarkin J., “On the absolute integrability of Fourier transform”, Fund. Math., 25 (1935), 329–352 | Zbl

[4] Koosis P., Introduction to $H^p$ spaces, London Math. Soc. Lecture Note Ser., 40, Cambridge University Press, Cambridge, 1980 | MR | Zbl

[5] Krilov V., “On functions regular in the halfplane”, Russian Mat. Sbornik, 6(48) (1939), 95–138

[6] Nikolski N., Operators, functions and systems, Mathematical surveys and monographs, 92, 2002 | MR | Zbl

[7] Shamoyan R., Li H., “Descriptions of zero sets and parametric representations of certain analytic area Nevanlinna type classes in the unit disk”, Bulletin Georgian Math. Society (to appear)