On interpolation properties of compact bilinear operators

被引：14
|
作者：
Fernandez-Cabrera, Luz M. [1 ]
Martinez, Anton [2 ]
机构：
[1] Univ Complutense Madrid, Fac Estudios Estadist, Secc Dept Matemat Aplicada, E-28040 Madrid, Spain
[2] Univ Vigo, Dept Matemat Aplicada 1, Escuela Ingn Ind, Vigo 36200, Spain
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 11-12期
关键词：
Compact bilinear operators; real interpolation; interpolation with a parameter function; convolution of sequences; ARONSZAJN-GAGLIARDO FUNCTORS; REAL INTERPOLATION; LOGARITHMIC FUNCTORS; BANACH-ALGEBRAS; SPACES; REITERATION; PARAMETER;
D O I：
10.1002/mana.201600203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate interpolation properties of compact bilinear operators under the general real method. Results apply in particular to the real method with a function parameter and also to the complex method in the special case when the couple in the target reduces to a single Banach space or the source is a product of two fixed Banach spaces. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：1663 / 1677
页数：15
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