Endpoint Estimates for Oscillatory Singular Integrals with Holder Class Kernels

被引：1

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 FUNCTION SPACES | 2019年 / 2019卷

关键词：

1,1 BOUNDS;

D O I：

10.1155/2019/8561402

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the uniform L1L1, and HE1L1 boundedness 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. This Holder condition appreciably weakens the C1 condition imposed in existing literature.

引用

页数：7

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