EQUALITY CONDITIONS FOR NORM INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES

被引：0
|
作者：
Yamada, Akira [1 ]
机构：
[1] Tokyo Gakugei Univ, Dept Math, Koganei, Tokyo 184, Japan
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2009年 / 12卷 / 02期
关键词：
reproducing kernel; Hilbert space; norm inequality; tensor product; DIRICHLET NORM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider norm inequalities arising from nonlinear maps between reproducing kernel Hilbert spaces. In many cases we know that equality for such inequalities occurs only for the reproducing kernels. To investigate this phenomenon we introduce a new class of RKHSs and give fairly general equality conditions for norm inequalities.
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页码：377 / 390
页数：14
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