Some Questions Regarding Verification of Carleson Measures

被引:1
|
作者
Deng, Fangwen [1 ]
Ouyang, Caiheng [1 ]
Peng, Ru [2 ]
机构
[1] Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China
[2] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
基金
中国国家自然科学基金;
关键词
Carleson measures; Besov-Sobolev spaces; Hardy spaces; Bergman spaces; BESOV-SOBOLEV SPACES; WEIGHTED BERGMAN SPACES; TOEPLITZ-OPERATORS; MEASURE THEOREM; UNIT BALL;
D O I
10.1007/s10473-021-0620-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give a survey of some recent progress in terms of verifying Carleson measures; this includes the difference between two definitions of a Carleson measure, the Bergman tree condition, the T1 condition for Besov-Sobolev spaces on a complex ball, vector-valued Carleson measures, Carleson measures in strongly pseudoconvex domains and reverse Carleson measures.
引用
收藏
页码:2136 / 2148
页数:13
相关论文
共 50 条
  • [41] Carleson Measures and Toeplitz Operators
    Abate, Marco
    METRICAL AND DYNAMICAL ASPECTS IN COMPLEX ANALYSIS, 2017, 2195 : 141 - 157
  • [42] DK Spaces and Carleson Measures
    Li, Dongxing
    Wulan, Hasi
    Zhao, Ruhan
    ACTA MATHEMATICA SCIENTIA, 2022, 42 (03) : 1103 - 1112
  • [43] Carleson Measures via BMO
    Boo Rim Choe
    Hyungwoon Koo
    Michael Stessin
    Integral Equations and Operator Theory, 2009, 63 : 501 - 520
  • [44] Vanishing logarithmic Carleson measures
    MacCluer, B
    Zhao, RH
    ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (02) : 507 - 518
  • [45] Multipliers and Carleson measures for D(μ)
    Chartrand, R
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 45 (03) : 309 - 318
  • [46] SOME QUESTIONS AND EXAMPLES CONCERNING HAUSDORFF MEASURES
    BANDT, C
    FEISTE, U
    MATHEMATISCHE NACHRICHTEN, 1981, 104 : 171 - 182
  • [47] Some questions regarding indeterminacy and dynamics in control problems
    Ivanenko, V.I.
    Soviet journal of automation and information sciences, 1987, 20 (05): : 31 - 41
  • [48] On BMO and Carleson Measures on Riemannian Manifolds
    Brazke, Denis
    Schikorra, Armin
    Sire, Yannick
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (02) : 1245 - 1269
  • [49] Carleson measures and uniformly perfect sets
    Oleinik V.L.
    Journal of Mathematical Sciences, 2001, 107 (4) : 4029 - 4037
  • [50] A Look at BMOϕ(ω) through Carleson Measures
    Eleonor Harboure
    Oscar Salinas
    Beatriz Viviani
    Journal of Fourier Analysis and Applications, 2007, 13 : 267 - 284