Interpolation of Bilinear Operators Between Quasi-Banach Spaces

被引：0
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作者：
Loukas Grafakos
Mieczysław Mastyło
机构：
[1] University of Missouri,Department of Mathematics
[2] A. Mickiewicz University and Institute of Mathematics,Faculty of Mathematics and Computer Science
[3] Polish Academy of Science (Poznań),undefined
来源：
Positivity | 2006年 / 10卷
关键词：
46B70; 46M35; Interpolation; quasi-Banach spaces; multilinear interpolation; bilinear operators; Calderón-Lozanovsky spaces; Lorentz-Zygmund spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-Lozanovsky spaces, and Lorentz-Zygmund spaces are presented.
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页码：409 / 429
页数：20
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