Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus

被引：2
|
作者：
Blasco, Oscar [1 ]
Pott, Sandra
机构：
[1] Univ Valencia, Dept Math, ES-46100 Valencia, Spain
[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
ARKIV FOR MATEMATIK | 2005年 / 43卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1007/BF02384781
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a full scale of Lorentz-BMO spaces BMOLP,q on the bidisk, and show that these spaces do not coincide for different values of p and q. Our main tool is a detailed analysis of Carleson's construction in [C].
引用
收藏
页码：289 / 305
页数：17
相关论文
共 45 条
  • [1] BMO-Lorentz martingale spaces
    Xueying Zhang
    Xuming Yi
    Chuanzhou Zhang
    Journal of Inequalities and Applications, 2013
  • [2] BMO-Lorentz martingale spaces
    Zhang, Xueying
    Yi, Xuming
    Zhang, Chuanzhou
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [3] Weighted BMO and Carleson measures on spaces of homogeneous type
    Hartzstein, Silvia
    Salinas, Oscar
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) : 950 - 969
  • [4] BMO Functions and Carleson Measures with Values in Uniformly Convex Spaces
    Ouyang, Caiheng
    Xu, Quanhua
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (04): : 827 - 844
  • [5] Carleson measures, BMO spaces and balayages associated to Schrodinger operators
    Chen Peng
    Duong, Xuan Thinh
    Li Ji
    Song Liang
    Yan LiXin
    SCIENCE CHINA-MATHEMATICS, 2017, 60 (11) : 2077 - 2092
  • [6] Carleson measures, BMO spaces and balayages associated to Schrdinger operators
    CHEN Peng
    DUONG XuanThinh
    LI Ji
    SONG Liang
    YAN LiXin
    Science China(Mathematics), 2017, 60 (11) : 2077 - 2092
  • [7] Carleson measures, BMO spaces and balayages associated to Schrödinger operators
    Peng Chen
    Xuan Thinh Duong
    Ji Li
    Liang Song
    LiXin Yan
    Science China Mathematics, 2017, 60 : 2077 - 2092
  • [8] Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces
    Dao Van Duong
    Kieu Huu Dung
    Nguyen Minh Chuong
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2020, 39 (04): : 433 - 460
  • [9] Interpolation Between Continuous Parameter Martingale Hardy–Lorentz and BMO Spaces
    M. Mohsenipour
    Gh. Sadeghi
    Analysis Mathematica, 2019, 45 : 375 - 389
  • [10] The Banach Space-valued BMO, Carleson's Condition, and Paraproducts
    Hytonen, Tuomas P.
    Weis, Lutz
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2010, 16 (04) : 495 - 513
12345