Two weight norm inequalities for the bilinear fractional integrals

被引：9
|
作者：
Li, Kangwei [1 ,2 ]
Sun, Wenchang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2016年 / 150卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
CALDERON-ZYGMUND OPERATORS; MAXIMAL OPERATORS; POTENTIAL TYPE; 2-WEIGHT; BOUNDS; SPACES;
D O I：
10.1007/s00229-015-0800-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a characterization of the two weight strong and weak type norm inequalities for the bilinear fractional integrals in terms of Sawyer type testing conditions. Namely, we give the characterization of the following inequalities, when q a parts per thousand yen p (1), p (2) > 1 and p (1) + p (2) a parts per thousand yen p (1) p (2).
引用
收藏
页码：159 / 175
页数：17
相关论文
共 50 条
  • [1] Two weight norm inequalities for the bilinear fractional integrals
    Kangwei Li
    Wenchang Sun
    [J]. Manuscripta Mathematica, 2016, 150 : 159 - 175
  • [2] NORM INEQUALITIES WITH FRACTIONAL INTEGRALS
    Ushakova, E. P.
    Ushakova, K. E.
    [J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2024,
  • [3] Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces
    Di, Bo Ning
    He, Qian Jun
    Yan, Dun Yan
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (07) : 1203 - 1228
  • [4] Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces
    Bo Ning Di
    Qian Jun He
    Dun Yan Yan
    [J]. Acta Mathematica Sinica, English Series, 2022, 38 : 1203 - 1228
  • [5] Two-weight weak-type norm inequalities for the commutators of fractional integrals
    Liu, ZG
    Lu, SZ
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 48 (03) : 397 - 409
  • [6] A CHARACTERIZATION OF 2 WEIGHT NORM INEQUALITIES FOR FRACTIONAL AND POISSON INTEGRALS
    SAWYER, ET
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (02) : 533 - 545
  • [7] Two-weight Weak-type Norm Inequalities for the Commutators of Fractional Integrals
    Zongguang Liu
    Shanzhen Lu
    [J]. Integral Equations and Operator Theory, 2004, 48 : 397 - 409
  • [8] Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces
    Bo Ning DI
    Qian Jun HE
    Dun Yan YAN
    [J]. Acta Mathematica Sinica,English Series, 2022, 38 (07) : 1203 - 1228
  • [9] WEIGHTED NORM INEQUALITIES FOR FRACTIONAL INTEGRALS
    MUCKENHOUPT, B
    WHEEDEN, RL
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 192 : 261 - 274
  • [10] WEIGHTED NORM INEQUALITIES FOR FRACTIONAL INTEGRALS
    MUCKENHO.B
    WHEEDEN, R
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A365 - A365
12345