Some extensions of the Marcinkiewicz interpolation theorem in terms of modular inequalities

被引：0

作者：

Carro, MJ ^{[1
]}

Nikolova, L

机构：

[1] Univ Barcelona, Fac Matemat, Dept Matemat Aplicada & Anal, E-08071 Barcelona, Spain

[2] Univ Sofia, Dept Math, BU-1126 Sofia, Bulgaria

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2003年 / 55卷 / 02期

关键词：

boundedness of operators; interpolation; modular inequalities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a quasi-subaditive operator T : L-0(mu) --> L-0(nu), we want to study mapping properties of interpolation type for which the following modular inequality holds integral(N) P(\Tf(x)\)dv(x) less than or equal to integral(M) Q(\f(x)\)dmu(x) where P and Q are modular functions. These results generalize the classical Marcinkiewicz interpolation theorem.

引用

页码：385 / 394

页数：10

共 8 条

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