On Interpolation in the Class of Analytic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic

被引:0
作者
Shamoyan, Faizo A. [1 ]
Rodikova, Eugenia G. [1 ]
机构
[1] Bryansk State Univ, Bezhitskaya 14, Bryansk 241036, Russia
来源
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2014年 / 7卷 / 02期
基金
俄罗斯基础研究基金会;
关键词
interpolation; holomorphic functions; the Nevanlinna characteristic; Stolz angles;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we solve the interpolation problem for the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic under the condition that interpolation nodes are contained in a finite union of Stolz angles.
引用
收藏
页码:235 / 243
页数:9
相关论文
共 5 条
[1]   On Interpolation in the Class of Analytic Functions in the Unit Disk with the Nevanlinna Characteristic from Lp-spaces [J].
Rodikova, Eugenia G. .
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2016, 9 (01) :69-78
[2]   Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic [J].
V. A. Bednazh ;
E. G. Rodikova ;
F. A. Shamoyan .
Complex Analysis and Operator Theory, 2017, 11 :197-215
[3]   Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic [J].
Bednazh, V. A. ;
Rodikova, E. G. ;
Shamoyan, F. A. .
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) :197-215
[4]   Interpolation of analytic functions of moderate growth in the unit disc and zeros of solutions of a linear differential equation [J].
Chyzhykov, Igor ;
Sheparovych, Iryna .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) :319-333
[5]   NON-SYNTHETIC DIAGONAL OPERATORS ON THE SPACE OF FUNCTIONS ANALYTIC ON THE UNIT DISK [J].
Overmoyer, Kate ;
Seubert, Steven M. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (04) :1233-1244