On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator

被引：5
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 I, Escuela Ingn Ind, Vigo 36200, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 504卷 / 01期
关键词：
Bilinear operators; Measure of non-compactness; Duality for bilinear operators; Real interpolation;
D O I：
10.1016/j.jmaa.2021.125376
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We complete the range of the parameters in the interpolation formula established by Mastylo and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数：11
相关论文
共 27 条
  • [1] [Anonymous], 1976, GRUNDLEHREN MATH WIS
  • [2] [Anonymous], 1964, PUBL MATH I, DOI 10.1007/BF02684796
  • [3] Bényi A, 2013, P AM MATH SOC, V141, P3609
  • [4] Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces
    Besoy, Blanca F.
    Cobos, Fernando
    [J]. JOURNAL OF APPROXIMATION THEORY, 2019, 243 : 25 - 44
  • [5] Caldern AP., 1964, Stud. Math, V24, P113, DOI [10.4064/sm-24-2-113-190, DOI 10.4064/SM-24-2-113-190]
  • [6] Carl Bernd, 1990, ENTROPY COMPACTNESS
  • [7] Cobos F, 1999, STUD MATH, V135, P25
  • [8] A compactness result of Janson type for bilinear operators
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 495 (02)
  • [9] On compactness results of Lions-Peetre type for bilinear operators
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 199
  • [10] Interpolation of compact bilinear operators among quasi-Banach spaces and applications
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (14-15) : 2168 - 2187
123