Interpolation with functions in the analytic Wiener algebra

被引：0
|
作者：
El-Fallah, O. [1 ]
Kellay, K. [2 ]
机构：
[1] Univ Mohamed V Rabat, Lab Anal & Applicat, Rabat, Morocco
[2] Univ Bordeaux, IMB, CNRS UMR 5251, F-33400 Talence, France
来源：
LINEAR AND MULTILINEAR ALGEBRA AND FUNCTION SPACES | 2020年 / 750卷
关键词：
Wiener algebra; zero sets; Carleson set; CLOSED IDEALS; CANTOR SETS; OPERATORS; SUBSPACES; CYCLICITY; SPECTRUM;
D O I：
10.1090/conm/750/15101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A(+) be the analytic Wiener algebra and let I+(E) be the closed ideal of A(+) consisting of all functions in A(+) which vanish on the closed subset E of the unit circle. In this paper, we give estimates for the norm of e(-int) in the quotient algebra A(+)/I+(E), when E satisfies suitable geometric conditions. These estimates allow to give some classes of functions which can be interpolated with functions in A(+).
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页码：9 / 18
页数：10
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