Oscillatory Singular Integral Operators with Holder Class Kernels

被引：2

作者：

Al-Qassem, Hussain ^{[1
]}

Cheng, Leslie ^{[2
]}

Pan, Yibiao ^{[3
]}

机构：

[1] Qatar Univ, Dept Math & Phys, Doha, Qatar

[2] Bryn Mawr Coll, Dept Math, Bryn Mawr, PA 19010 USA

[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2019年 / 25卷 / 04期

关键词：

Lp spaces; Oscillatory integrals; Singular integrals; Primary; 42B20; Secondary; 42B35;

D O I：

10.1007/s00041-018-09660-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the boundedness on Lp(Rn) of oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calderon-Zygmund kernel K(x,y) satisfying a Holder condition. Our results also hold on weighted Lp spaces with Ap weights.

引用

页码：2141 / 2149

页数：9

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