Bilinear Fractional Integral Along Homogeneous Curves

被引：2
|
作者：
Li, Junfeng [1 ]
Liu, Peng [1 ]
机构：
[1] Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 06期
关键词：
Bilinear operator; Fractional integral along curve; Multi-linear interpolation; HILBERT-TRANSFORMS; HARMONIC-ANALYSIS; CONVOLUTION;
D O I：
10.1007/s00041-016-9511-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness of the bilinear fractional integrals along homogeneous curves with is obtained. The authors extend the results of the bilinear fractional integrals of Kenig and Stein (Math Res Lett 6:1-15, 1999) and Grafakos and Kalton (Math Ann 319(1):151-180, 2001) to integrals along the curves.
引用
收藏
页码：1465 / 1479
页数：15
相关论文
共 50 条
  • [31] Convolution and fractional integration with measures on homogeneous curves in Rn
    Gressman, P
    MATHEMATICAL RESEARCH LETTERS, 2004, 11 (5-6) : 869 - 881
  • [32] Boundedness of homogeneous fractional integral operator on Morrey space
    Siying Meng
    Yanping Chen
    Journal of Inequalities and Applications, 2016
  • [33] BOUNDEDNESS AND COMPACTNESS OF COMMUTATORS FOR BILINEAR FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES
    Guo, Q.
    Zhou, J.
    ANALYSIS MATHEMATICA, 2021, 47 (01) : 81 - 103
  • [34] Boundedness of homogeneous fractional integral operator on Morrey space
    Meng, Siying
    Chen, Yanping
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 11
  • [35] Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
    Wang, Dinghuai
    Zhou, Jiang
    Teng, Zhidong
    ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (04) : 1669 - 1688
  • [36] Boundedness of Bilinear Fractional Integral Operators on Vanishing Generalized Morrey Spaces
    Liu, Yuqin
    Fu, Xing
    JOURNAL OF MATHEMATICAL STUDY, 2022, 55 (02) : 109 - 123
  • [37] Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
    Dinghuai Wang
    Jiang Zhou
    Zhidong Teng
    Analysis and Mathematical Physics, 2019, 9 : 1669 - 1688
  • [38] Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces
    Q. Guo
    J. Zhou
    Analysis Mathematica, 2021, 47 : 81 - 103
  • [39] PRODUCT STRUCTURES AND FRACTIONAL INTEGRATION ALONG CURVES IN THE SPACE
    Casarino, Valentina
    Ciatti, Paolo
    Secco, Silvia
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (03): : 619 - 635
  • [40] A maximal function for families of Hilbert transforms along homogeneous curves
    Guo, Shaoming
    Roos, Joris
    Seeger, Andreas
    Yung, Po-Lam
    MATHEMATISCHE ANNALEN, 2020, 377 (1-2) : 69 - 114
12345