Uniqueness of unconditional bases in quasi-banach spaces with applications to hardy spaces, II

被引:0
|
作者
P. Wojtaszczyk
机构
[1] Instytut Matematyki Uniwersytetu Warszawskiego,
来源
关键词
Bipartite Graph; Hardy Space; Unconditional Basis; Unit Vector Basis; Haar System;
D O I
暂无
中图分类号
学科分类号
摘要
We prove that a wide class of quasi-Banach spaces has a unique up to a permutation unconditional basis. This applies in particular to Hardy spacesHp forp<1. We also investigate the structure of complemented subspaces ofHp(D). The proofs use in essential way matching theory.
引用
收藏
页码:253 / 280
页数:27
相关论文
共 50 条
  • [41] Bochner-Riesz Means on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
    Tan, Jian
    Zhang, Linjing
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (05)
  • [42] INTERPOLATION IN QUASI-BANACH ORLICZ SPACES
    OVCHINNIKOV, VI
    [J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1982, 16 (03) : 223 - 224
  • [43] Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces
    Xianjie Yan
    Dachun Yang
    Wen Yuan
    [J]. Frontiers of Mathematics in China, 2020, 15 : 769 - 806
  • [44] On the Properties of Quasi-Banach Function Spaces
    Nekvinda, Ales
    Pesa, Dalimil
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (08)
  • [45] Logarithmic interpolation spaces between quasi-Banach spaces
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Manzano, Antonio
    Martinez, Anton
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2007, 26 (01): : 65 - 86
  • [46] ON INTERPOLATION OF SOME QUASI-BANACH SPACES
    MASTYLO, M
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (02) : 403 - 419
  • [47] Lipschitz structure of quasi-Banach spaces
    Albiac, F.
    Kalton, N. J.
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2009, 170 (01) : 317 - 335
  • [48] Stochastic integration in quasi-Banach spaces
    Cioica-Licht, Petru A.
    Cox, Sonja G.
    Veraar, Mark C.
    [J]. STUDIA MATHEMATICA, 2023, 269 (01) : 1 - 64
  • [49] Lipschitz structure of quasi-Banach spaces
    F. Albiac
    N. J. Kalton
    [J]. Israel Journal of Mathematics, 2009, 170
  • [50] Stability results on interpolation scales of quasi-Banach spaces and applications
    Kalton, N
    Mitrea, M
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (10) : 3903 - 3922