Reproducing kernels and extremal functions in Dirichlet-type spaces

被引：0
|
作者：
Shimorin S.M. [1 ]
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2001年 / 107卷 / 4期
关键词：
Extremal Function; Contractive Multiplier;
D O I：
10.1023/A:1012453003423
中图分类号：
学科分类号：
摘要：
Some identities are established for reproducing kernels and extremal functions in Dirichlet-type spaces. In certain cases, these identities are characteristic. A new proof of Aleman's theorem on extremal functions as contractive multipliers is obtained. In contrast to the original one, this proof can be extended to vector-valued spaces. © 2001 Plenum Publishing Corporation.
引用
收藏
页码：4108 / 4124
页数：16
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