KERNEL OPERATORS WITH VARIABLE INTERVALS OF INTEGRATION IN LEBESGUE SPACES AND APPLICATIONS

被引：36

作者：

Stepanov, Vladimir D. ^{[1
]}

Ushakova, Elena P. ^{[2
,3
]}

机构：

[1] Peoples Friendship Univ, Dept Math Anal & Funct Theory, Moscow 117198, Russia

[2] Russian Acad Sci, Far Eastern Branch, Ctr Comp, Khabarovsk 680000, Russia

[3] Uppsala Univ, Dept Math, Uppsala 75106, Sweden

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2010年 / 13卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Integral operators; Lebesgue spaces; weights; boundedness; WEIGHTED NORM INEQUALITIES; HARDYS INEQUALITY;

D O I：

10.7153/mia-13-34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New criteria of L-p - L-q boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0, infinity) boundary functions a(x) and b(x) are obtained for 1 < p <= q < infinity and 0 < q < p < infinity, p > 1. This result is applied for two-weighted L-p - L-q characterization of the corresponding geometric Steklov operator (1.3) and other related problems.

引用

页码：449 / 510

页数：62

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