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.
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页码：1465 / 1479
页数：15
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