Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications

被引:0
|
作者
Yanchang Han
机构
[1] South China Normal University,School of Mathematical Sciences
来源
Collectanea mathematica | 2008年 / 59卷
关键词
theorem; Triebel-Lizorkin spaces; Calderón reproducing formula; Plancherel-Pôlya inequalities; 42B25; 42B35; 46E35;
D O I
暂无
中图分类号
学科分类号
摘要
The author first establishes theTb theorems for Triebel-Lizorkin spaces by the discrete Calderón type reproducing formula and the Plancherel-Pôlya characterization for the Triebel-Lizorkin spaces. As an application of theTb theorems, new characterizations of Triebel-Lizorkin spaces with minimum regularity and cancellation conditions are given over special spaces of homogeneous type.
引用
收藏
页码:63 / 78
页数:15
相关论文
共 50 条
  • [11] New Characterizations of Inhomogeneous Besovand Triebel-Lizorkin Spaces over Spaces of Homogeneous Type
    Yan Chang HAN School of Mathematical Sciences
    Acta Mathematica Sinica(English Series), 2009, 25 (11) : 1787 - 1804
  • [12] The Tb theorem for some inhomogeneous Besov and Triebel-Lizorkin spaces over space of homogeneous type
    Tao, Xiangxing
    Kang, Yachan
    Zheng, Taotao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
  • [13] New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
    Han, Yan Chang
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (11) : 1787 - 1804
  • [14] Wavelet characterization of Triebel-Lizorkin spaces for p = ∞ on spaces of homogeneous type and its applications?
    Wang, Fan
    Yang, Dachun
    Yuan, Wen
    JOURNAL OF APPROXIMATION THEORY, 2023, 285
  • [15] Difference Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type
    Wang, Fan
    He, Ziyi
    Yang, Dachun
    Yuan, Wen
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2022, 10 (03) : 483 - 542
  • [16] Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications
    He, Ziyi
    Wang, Fan
    Yang, Dachun
    Yuan, Wen
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 54 (54) : 176 - 226
  • [17] Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces
    Han, YS
    Yang, DC
    STUDIA MATHEMATICA, 2003, 156 (01) : 67 - 97
  • [18] SPACES OF TRIEBEL-LIZORKIN TYPE
    PEETRE, J
    ARKIV FOR MATEMATIK, 1975, 13 (01): : 123 - 130
  • [19] ATOMIC DECOMPOSITION OF WEIGHTED TRIEBEL-LIZORKIN SPACES ON SPACES OF HOMOGENEOUS TYPE
    Li, Ji
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 89 (02) : 255 - 275
  • [20] Pointwise characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
    Alvarado, Ryan
    Wang, Fan
    Yang, Dachun
    Yuan, Wen
    STUDIA MATHEMATICA, 2023, 268 (02) : 121 - 166