Weakly compact bilinear operators among real interpolation spaces

被引：0

作者：

Cobos, Fernando ^{[1
]}

Fernandez-Cabrera, Luz M. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat & Matemat Aplicada, Plaza Ciencias 3, Madrid 28040, Spain

[2] Univ Complutense Madrid, Fac Estudios Estadisticos, Dept Anal Matemat & Matemat Aplicada, Secc Dept, Madrid 28040, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 529卷 / 02期

关键词：

Weakly compact bilinear operators; Real interpolation; Complex interpolation; Compact bilinear operators;

D O I：

10.1016/j.jmaa.2022.126837

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页数：6

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