LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS

被引：2
|
作者：
Besoy, Blanca F. [1 ]
Cobos, Fernando [1 ]
机构：
[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat & Matemat Aplicada, Plaza Ciencias 3, Madrid 28040, Spain
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2020年 / 71卷 / 01期
关键词：
REAL INTERPOLATION; OPERATORS; SPACES; PARAMETER;
D O I：
10.1093/qmathj/haz041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with theta = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.
引用
收藏
页码：73 / 95
页数：23
相关论文
共 50 条
  • [31] Multiplication Operator on Kothe Spaces: Measure of Non-compactness and Closed Range
    Erlin Castillo, Rene
    Rafeiro, Humberto
    Ramos-Fernandez, Julio C.
    Salas-Brown, Margot
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (04) : 1523 - 1534
  • [32] Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
    Ehmet Ablet
    Lixin Cheng
    Qingjin Cheng
    Wen Zhang
    ScienceChina(Mathematics), 2019, 62 (01) : 147 - 156
  • [33] Fixed Point Results for Condensing Operators via Measure of Non-Compactness
    Youssef Touail
    Amine Jaid
    Driss El Moutawakil
    Vestnik St. Petersburg University, Mathematics, 2022, 55 : 347 - 352
  • [34] Compactness and non-compactness for the Yamabe problem on manifolds with boundary
    Disconzi, Marcelo M.
    Khuri, Marcus A.
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 724 : 145 - 201
  • [35] Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
    Ehmet Ablet
    Lixin Cheng
    Qingjin Cheng
    Wen Zhang
    Science China Mathematics, 2019, 62 : 2053 - 2056
  • [36] Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
    Ehmet Ablet
    Lixin Cheng
    Qingjin Cheng
    Wen Zhang
    Science China(Mathematics), 2019, 62 (10) : 2053 - 2056
  • [37] Fixed Point Theorem via Measure of Non-Compactness for a New Kind of Contractions
    Touail, Youssef
    Jaid, Amine
    El Moutawakil, Driss
    VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2023, 56 (02) : 198 - 202
  • [38] An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric
    Berckmoes, Ben
    Hellemans, Tim
    Sioen, Mark
    Van Casteren, Jan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (02) : 1770 - 1789
  • [39] Fixed Point Theorem via Measure of Non-Compactness for a New Kind of Contractions
    Youssef Touail
    Amine Jaid
    Driss El Moutawakil
    Vestnik St. Petersburg University, Mathematics, 2023, 56 : 198 - 202
  • [40] Compactness and non-compactness for Yamabe-type problems
    Marques, Fernando Coda
    CONTRIBUTIONS TO NONLINEAR ELLIPTIC EQUATIONS AND SYSTEMS, 2015, 86 : 121 - 131
12345