Interpolation of Bilinear Operators Between Quasi-Banach Spaces

被引：0
|
作者：
Loukas Grafakos
Mieczysław Mastyło
机构：
[1] University of Missouri,Department of Mathematics
[2] A. Mickiewicz University and Institute of Mathematics,Faculty of Mathematics and Computer Science
[3] Polish Academy of Science (Poznań),undefined
来源：
Positivity | 2006年 / 10卷
关键词：
46B70; 46M35; Interpolation; quasi-Banach spaces; multilinear interpolation; bilinear operators; Calderón-Lozanovsky spaces; Lorentz-Zygmund spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-Lozanovsky spaces, and Lorentz-Zygmund spaces are presented.
引用
收藏
页码：409 / 429
页数：20
相关论文
共 50 条
  • [41] Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces
    K.-P. Ho
    Acta Mathematica Hungarica, 2020, 160 : 88 - 100
  • [42] Weak Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Decompositions, Real Interpolation, and Calderón–Zygmund Operators
    Jingsong Sun
    Dachun Yang
    Wen Yuan
    The Journal of Geometric Analysis, 2022, 32
  • [43] Uniqueness of symmetric basis in quasi-Banach spaces
    Albiac, F.
    Leranoz, C.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 51 - 54
  • [44] On the Sharp Triangle Inequalities in Quasi-Banach Spaces
    Xiao, Xiangzhen
    PROCEEDINGS OF THE 2014 INTERNATIONAL CONFERENCE ON MECHATRONICS, CONTROL AND ELECTRONIC ENGINEERING, 2014, 113 : 30 - 32
  • [45] Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation
    Ricardo del Campo
    Antonio Fernández
    Fernando Mayoral
    Francisco Naranjo
    Collectanea Mathematica, 2021, 72 : 481 - 499
  • [46] Weak Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Decompositions, Real Interpolation, and Calderon-Zygmund Operators
    Sun, Jingsong
    Yang, Dachun
    Yuan, Wen
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (07)
  • [47] On Pitt's theorem for operators between scalar and vector-valued quasi-Banach sequence spaces
    Defant, A
    Molina, JAL
    Rivera, MJ
    MONATSHEFTE FUR MATHEMATIK, 2000, 130 (01): : 7 - 18
  • [48] Hardy spaces for ball quasi-Banach function spaces
    Sawano, Yoshihiro
    Ho, Kwok-Pun
    Yang, Dachun
    Yang, Sibei
    DISSERTATIONES MATHEMATICAE, 2017, (525) : 1 - 102
  • [49] On isomorphically equivalent extensions of quasi-Banach spaces
    Castillo, JMF
    Moreno, Y
    RECENT PROGRESS IN FUNCTIONAL ANALYSIS, 2001, 189 : 263 - 272
  • [50] OPTIMAL INTERPOLATION THEOREM FOR QUASI-BANACH SPACES LP WITH WEIGHTS AND FOR OPERATORS FROM VONNEUMAN-SCHATTEN CLASSES IN HILBERT PAIRS
    OVCHINNIKOV, VI
    MATHEMATICAL NOTES, 1993, 53 (1-2) : 180 - 183
12345