COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY

被引：1
作者：
Wick, Brett D. [1 ]
机构：
[1] Washington Univ, Dept Math & Stat, One Brookings Dr, St Louis, MO 63130 USA
来源：
REAL ANALYSIS EXCHANGE | 2020年 / 45卷 / 01期
基金：
美国国家科学基金会; 澳大利亚研究理事会;
关键词：
Commutator; BMO; Hardy Space; Weak Factorization; Calderon-Zygmund Operator; RIESZ TRANSFORM COMMUTATOR; BOUNDED MEAN-OSCILLATION; SINGULAR-INTEGRALS; HANKEL-OPERATORS; 2-WEIGHT INEQUALITIES; ITERATED COMMUTATORS; PRODUCT BMO; COMPACTNESS; TERMS;
D O I：
10.14321/realanalexch.45.1.0001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this survey we discuss the connection between commutator operators and functions of bounded mean oscillation, and at the same time outline the parallel story of the real Hardy space and weak factorization of these functions. We provide motivation as to why these questions are interesting and highlight the many different methods of proof that exist for proving results of the type discussed.
引用
收藏
页码：1 / 28
页数：28
相关论文
共 90 条
  • [1] Compactness properties of commutators of bilinear fractional integrals
    Benyi, Arpad
    Damian, Wendolin
    Moen, Kabe
    Torres, Rodolfo H.
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2015, 280 (1-2) : 569 - 582
  • [2] Compact Bilinear Commutators: The Weighted Case
    Benyi, Arpad
    Damian, Wendolin
    Moen, Kabe
    Torres, Rodolfo H.
    [J]. MICHIGAN MATHEMATICAL JOURNAL, 2015, 64 (01) : 39 - 51
  • [3] Bényi A, 2013, P AM MATH SOC, V141, P3609
  • [4] Benyi Arpad, 2017, BOUNDEDNESS RESULTS
  • [5] Blasco O, 2005, REV MAT IBEROAM, V21, P483
  • [6] A COMMUTATOR THEOREM AND WEIGHTED BMO
    BLOOM, S
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 292 (01) : 103 - 122
  • [7] APPLICATIONS OF COMMUTATOR THEORY TO WEIGHTED BMO AND MATRIX ANALOGS OF A2
    BLOOM, S
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 1989, 33 (03) : 464 - 487
  • [8] Bongers Tyler, 2019, COMMUTATORS HILBERT
  • [9] Bongers Tyler, 1990, SEM EQ DER PART 1989, P10
  • [10] Bongers Tyler, 1995, AM MATH SOC, V189, P81
123456789