A compactness result of Janson type for bilinear operators

被引：4
作者：
Cobos, Fernando [1 ]
Fernandez-Cabrera, Luz M. [2 ]
Martinez, Anton [3 ]
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 Estadist, Dept Anal Matemat & Matemat Aplicada, Secc Dept, Madrid 28040, Spain
[3] Univ Vigo, Dept Matemat Aplicada 1, Escuela Ingn Ind, Vigo 36200, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 02期
关键词：
Compact bilinear operators; Real interpolation; Lorentz spaces; Convolution operators; INTERPOLATION; NONCOMPACTNESS;
D O I：
10.1016/j.jmaa.2020.124760
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a compactness interpolation result for bilinear operators of the type proved by Janson for bounded bilinear operators. We also give an application to compactness of convolution operators. (C) 2020 Elsevier Inc. All rights reserved.
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页数：11
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