NEW CONVOLUTIONS AND NORM INEQUALITIES

被引：16
作者：
Castro, L. P. [1 ]
Saitoh, S. [1 ]
机构：
[1] Univ Aveiro, Ctr R&D Math & Applicat, Dept Math, P-3810193 Aveiro, Portugal
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 03期
关键词：
Integral transform; Hilbert space; linear transform; reproducing kernel; linear mapping; convolution; Toeplitz kernel; Hankel kernel; norm inequality; PLUS HANKEL-OPERATORS; SINGULAR INTEGRAL-EQUATIONS; INVERTIBILITY; SOLVABILITY; SPACES;
D O I：
10.7153/mia-15-62
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce new three types of convolutions for which - together with the classical convolution - we obtain new convolution inequalities. This is done within a framework from the theory of reproducing kernels which helps us to perform the mentioned inequalities in a very global way.
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页码：707 / 716
页数：10
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