NEW CONVOLUTIONS AND NORM INEQUALITIES

被引：17

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.

引用

页码：707 / 716

页数：10

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