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

页码：1465 / 1479

页数：15

共 14 条

[1]

Grafakos L, 2014, GRAD TEXTS MATH, V250, DOI 10.1007/978-1-4939-1230-8

[2] ON MULTILINEAR FRACTIONAL INTEGRALS [J].