A characterization of Triebel-Lizorkin spaces and Besov spaces by BMO families expansion

被引：0
|
作者：
Noi, Takahiro [1 ]
机构：
[1] Chuo Univ, Dept Math, Grad Sch Sci & Engn, Bunkyo Ku, Tokyo 1128551, Japan
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2012年 / 19卷 / 04期
关键词：
Wavelets; Triebel-Lizorkin spaces; Besov spaces; BMO;
D O I：
10.1515/gmj-2012-0038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
P. Tchamitchian has constructed an atomic decomposition of the real Hardy space H-1(R-n) with L-p-atoms (1 < p < infinity) by rearrangements of wavelet expansion. In this paper, we give a characterization of Triebel-Lizorkin spaces F-p,q(s)(R-n) and Besov spaces B-p,q(s)(R-n) by a BMO family expansion by applying the arguments above.
引用
收藏
页码：741 / 761
页数：21
相关论文
共 50 条
  • [1] New bases for Triebel-Lizorkin and Besov spaces
    Kyriazis, G
    Petrushev, P
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (02) : 749 - 776
  • [2] Traces of Besov and Triebel-Lizorkin spaces on domains
    Schneider, Cornelia
    MATHEMATISCHE NACHRICHTEN, 2011, 284 (5-6) : 572 - 586
  • [3] Harmonic Besov and Triebel-Lizorkin Spaces on the Ball
    Ivanov, Kamen
    Petrushev, Pencho
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 1062 - 1096
  • [4] Littlewood-Paley characterization of BMO and Triebel-Lizorkin spaces
    Tselishchev, Anton
    Vasilyev, Ioann
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (10) : 2029 - 2043
  • [5] Trace Operators in Besov and Triebel-Lizorkin Spaces
    Schneider, Cornelia
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2010, 29 (03): : 275 - 302
  • [6] 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
  • [7] Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces
    Saksman, Eero
    Soto, Tomas
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2017, 5 (01): : 98 - 115
  • [8] 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
  • [9] Haar functions in weighted Besov and Triebel-Lizorkin spaces
    Malecka, Agnieszka
    JOURNAL OF APPROXIMATION THEORY, 2015, 200 : 1 - 27
  • [10] Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori
    Xiong, Xiao
    Xu, Quanhua
    Yin, Zhi
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 252 (1203) : 1 - +
12345