Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra

被引：1

作者：

Mortini, Raymond ^{[1
,2
,3
]}

机构：

[1] Univ Lorraine, Dept Math, F-57000 Metz, France

[2] Univ Lorraine, Inst Elie Cartan Lorraine, CNRS, F-57000 Metz, France

[3] Univ Luxembourg, Dept Math, L-4364 Esch Sur Alzette, Luxembourg

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2023年 / 23卷 / 03期

关键词：

The Mittag-Leffler; Germay; Carleson and Dzhrbashyan interpolation theorems; Holomorphic functions; Bounded analytic functions; Interpolation; Higher derivatives; dbar-Equation;

D O I：

10.1007/s40315-022-00463-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present short proofs of the classical interpolation theorems for derivatives by Mittag-Leffler and Germay, respectively Katsnelson, Airapetjan, Dzhrbashyan and Vinogradov and present such a theorem for the disk algebra.

引用

页码：513 / 521

页数：9

共 37 条

[1] Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra
Raymond Mortini
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[2] Short proofs of classical theorems
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