Sharp Interpolation Theorems in Couples of Lp Spaces for Generalized Lions-Peetre Spaces of Means

被引：2
|
作者：
Ovchinnikov, V. I. [1 ]
机构：
[1] Voronezh State Univ, Voronezh, Russia
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2012年 / 46卷 / 04期
关键词：
Lebesgue space; Lorentz space with functional parameters; Orlicz space; interpolation theorem for linear operators; sharp interpolation theorem; generalized Lions-Peetre space of means;
D O I：
10.1007/s10688-012-0039-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Sharp interpolation theorems for linear operators acting on arbitrary couples of L (p) spaces are found in the family of generalized Lions-Peetre spaces of means. This family includes the Lorentz spaces with functional quasi-concave parameters, the Orlicz spaces, and spaces similar to them.
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页码：313 / 315
页数：3
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