Carleson measures and uniformly perfect sets

被引：0
|
作者：
Oleinik V.L. [1 ]
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2001年 / 107卷 / 4期
关键词：
Analytic Function; Unit Disk; Connected Domain; Bergman Space; Carleson Measure;
D O I：
10.1023/A:1012436632556
中图分类号：
学科分类号：
摘要：
We show that the description of Carleson measures on the Bergman space of analytic functions on a finitely connected domain G with a power weight is similar to that for the unit disk iff the complement ℂ̄\G is an unbounded set without isolated points. In the general case, the complement of such a domain G must be uniformly perfect. ©2001 Plenum Publishing Corporation.
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页码：4029 / 4037
页数：8
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