A General Norm on Extension of a Hilbert's Type Linear Operator

被引：0

作者：

Jokar, Z. ^{[1
,2
]}

Behboodian, J. ^{[1
,3
]}

机构：

[1] Islamic Azad Univ, Shiraz Branch, Dept Math, Shiraz, Iran

[2] Islamic Azad Univ, Shiraz Branch, Young Researcher Club, Shiraz, Iran

[3] Islamic Azad Univ, Shiraz Branch, Math, Shiraz, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2010年 / 5卷 / 01期

关键词：

Beta function; inner product; Holder's inequality; norm; Hilbert's inequality; extension of Hilbert's inequality; extension of Hilbert's type linear operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to study a general norm on extension of a Hilbert's type linear operator in the continuous and discrete form. In addition to expressing the norm of a Hilbert's type linear operator T : L-2 (0, infinity) -> L-2 (0, infinity), a more general case with lambda > 0, for the continuous form has been studied. By putting lambda = 1 a norm of extension of Hilbert's integral linear operator is obtained. Similar results have been expressed for series when 0 < lambda <= 2.

引用

页码：1 / 12

页数：12

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