VARIOUS INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES

被引：0
|
作者：
Nguyen Du Vi Nhan [1 ]
Dinh Thanh Duc [1 ]
机构：
[1] Quy Nhon Univ, Dept Math, Binh Dinh, Vietnam
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 01期
关键词：
Cauchy-Schwarz inequality; Reproducing kernel Hilbert space; Ronvolution; Holomorphic function; Absolutely continuous function; CONVOLUTION; NORM; L2-FUNCTIONS;
D O I：
10.11650/tjm.17.2013.2133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we examine various reproducing kernel Hilbert spaces H-K1 and H-K2 such that the inequality det [< F(i)G(i),F(j)G(i)>(HK1K2)](i,j=1)(m) <= C-m det [< F-i,F-j >(HK1) < G(i),G(j)>(HK2)](i,j=1)(m) holds for all F-j is an element of H-K1, G(j) is an element of H-K2, where m is a positive integer, C is a constant which is independent on F-j and G(j) for all j = 1, 2, ..., m, and H-K1K2 is the Hilbert space admitting the reproducing kernel K1K2.
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页码：221 / 237
页数：17
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