Interpolation sequences for the class of functions of finite η-type analytic in the unit disk

被引：0

作者：

Vynnyts'kyi B.V. ^{[1
]}

Sheparovych I.B. ^{[1
]}

机构：

[1] Drohobych Pedagogic University,

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 3期

关键词：

Function Convex; Unit Disk; Interpolation Problem; Increase Function Convex; Interpolation Sequence;

D O I：

10.1023/B:UKMA.0000045694.09930.44

中图分类号：

学科分类号：

摘要：

We establish conditions for the existence of a solution of the interpolation problem f(λ n ) = b n in the class of functions f analytic in the unit disk and such that (∃c1 > 0) (∀ z,|z| < 1): |f(z)| ≤ exp(c1η(c 1/1 - |z|). Here, η : [1; +∞) → (0; +∞) is an increasing function convex with respect to ln∈t on the interval [1; +∞) and such that ln∈t = o(η(t)), t → ∞. © 2004 Springer Science+Business Media, Inc.

引用

页码：520 / 526

页数：6

共 50 条

[21] INTERPOLATION AND CLOSED IDEALS OF BOUNDED ANALYTIC-FUNCTIONS ON A DISK
BEZIVIN, JP
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (04): : 195 - 197
[22] LAGRANGE INTERPOLATION AT REAL PROJECTIONS OF LEJA SEQUENCES FOR THE UNIT DISK
Calvi, Jean-Paul
Phung Van Manh
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (12) : 4271 - 4284
[23] INTERPOLATION OF FUNCTIONS OF THE GEVREY CLASS IN THE CLOSED DISK AND BALL
ZNAMENSKAYA, LN
SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (04) : 700 - 704
[24] THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC-FUNCTIONS OF FINITE-ORDER AND NORMAL-TYPE
MALYUTIN, KG
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1994, 78 (01) : 253 - 266
[25] Phase Retrieval in Spaces of Analytic Functions on the Unit Disk
Pohl, Volker
Li, Na
Boche, Holger
2017 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2017, : 336 - 340
[26] ASYMPTOTIC BOUNDARY BEHAVIOR OF FUNCTIONS ANALYTIC IN UNIT DISK
CHOIKE, JR
NAGOYA MATHEMATICAL JOURNAL, 1977, 67 (AUG) : 1 - 13
[27] Area Integral Means of Analytic Functions in the Unit Disk
Cui, Xiaohui
Wang, Chunjie
Zhu, Kehe
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (03): : 509 - 517
[28] The value distribution of random analytic functions on the unit disk
Li, H.
Ye, Z.
ANALYSIS MATHEMATICA, 2024, : 255 - 268
[29] Some hyperbolic classes of analytic functions in the unit disk
Perez Hernandez, Jorge
Resendis Ocampo, Lino Feliciano
Tovar Sanchez, Luis Manuel
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2015, 21 (02): : 171 - 188
[30] Some hyperbolic classes of analytic functions in the unit disk
Jorge Pérez Hernández
Lino Feliciano Reséndis Ocampo
Luis Manuel Tovar Sánchez
Boletín de la Sociedad Matemática Mexicana, 2015, 21 (2) : 171 - 188

← 1 2 3 4 5 →