On Interpolation in the Class of Analytic Functions in the Unit Disk with the Nevanlinna Characteristic from Lp-spaces

被引：2

作者：

Rodikova, Eugenia G. ^{[1
]}

机构：

[1] Bryansk State Univ, Bezhitskaya 14, Bryansk 241036, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2016年 / 9卷 / 01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：

10.17516/1997-1397-2016-9-1-69-78

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 the Nevanlinna characteristic from Lp-spaces under the condition that interpolation nodes are contained in a finite union of Stolz angles.

引用

页码：69 / 78

页数：10

共 12 条

[1] On Interpolation in the Class of Analytic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic
Shamoyan, Faizo A.
Rodikova, Eugenia G.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2014, 7 (02): : 235 - 243
[2] Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic
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
Bednazh, V. A.
Rodikova, E. G.
Shamoyan, F. A.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 197 - 215
[4] Interpolation of nonlinear operators in weighted Lp-spaces
V. M. Kaplitskiĭ
Siberian Mathematical Journal, 2010, 51 : 255 - 266
[5] On an approach to the interpolation of analytic functions in Hilbert spaces
Parfenov, OG
MATHEMATICAL NOTES, 1996, 60 (5-6) : 586 - 588
[6] A Note on Some New Sharp Results on the Zeros of New Area Nevanlinna Type Spaces in the Unit Disk
Shamoyan, R. F.
Tomashevskaya, E. B.
MATHEMATICAL NOTES, 2023, 114 (5-6) : 1337 - 1341
[7] Interpolation of analytic functions of moderate growth in the unit disc and zeros of solutions of a linear differential equation
Chyzhykov, Igor
Sheparovych, Iryna
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) : 319 - 333
[8] NON-SYNTHETIC DIAGONAL OPERATORS ON THE SPACE OF FUNCTIONS ANALYTIC ON THE UNIT DISK
Overmoyer, Kate
Seubert, Steven M.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (04) : 1233 - 1244
[9] ON ZERO SETS AND PARAMETRIC REPRESENTATIONS OF SOME NEW ANALYTIC AND MEROMORPHIC FUNCTION SPACES IN THE UNIT DISK
Arsenovic, Milos
Shamoyan, Romi F.
FILOMAT, 2011, 25 (03) : 1 - 14
[10] SOLID HULLS OF WEIGHTED BANACH SPACES OF ANALYTIC FUNCTIONS ON THE UNIT DISC WITH EXPONENTIAL WEIGHTS
Bonet, Jose
Taskinen, Jari
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2018, 43 (01) : 521 - 530

← 1 2 →