INTERPOLATION OF MULTILINEAR OPERATORS ACTING BETWEEN QUASI-BANACH SPACES

被引：0

作者：

Grafakos, L. ^{[1
]}

Mastylo, M. ^{[2
,3
]}

Szwedek, R. ^{[2
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[3] Polish Acad Sci, Poznan Branch, Inst Math, PL-61614 Poznan, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 07期

关键词：

Interpolation spaces; quasi-Banach spaces; multilinear operators; functor Calderon-Lozanovskii spaces; Orlicz spaces;

D O I：

10.1090/S0002-9939-2014-12083-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that interpolation of multilinear operators can be lifted to multilinear operators from spaces generated by the minimal methods to spaces generated by the maximal methods of interpolation defined on a class of couples of compatible p-Banach spaces. We also prove the multilinear interpolation theorem for operators on Calderon-Lozanovskii spaces between L-p-spaces with 0 < p <= 1. As an application we obtain interpolation theorems for multilinear operators on quasi-Banach Orlicz spaces.

引用

页码：2507 / 2516

页数：10

共 13 条

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