The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains

被引：10

作者：

Isaev, K. P. ^{[1
]}

Yulmukhametov, R. S. ^{[1
]}

机构：

[1] Bashkir State Univ, Ufa 450074, Russia

来源：

IZVESTIYA MATHEMATICS | 2007年 / 71卷 / 06期

关键词：

D O I：

10.1070/IM2007v071n06ABEH002385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that it is impossible to construct unconditional bases of exponentials in the Bergman space B-2(D) in the case when D is a bounded convex domain on the plane such that at some point of the boundary the curvature exists and is different from zero.

引用

页码：1145 / 1166

页数：22

共 8 条

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Isaev K.P.
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