Boundedness of oscillatory singular integral with rough kernels on Triebel-Lizorkin spaces

来源 :高校应用数学学报：英文版（B辑） | 被引量 : 0次 | 上传用户：jingjong

【摘要】

：

In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by G

【作者】

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ZHANG Chun-jie ZHANG Yan-dan

【机构】

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SchoolofScience,DepartmentofMathematics

【出处】

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高校应用数学学报：英文版（B辑）

【发表日期】

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2013年1期

【关键词】

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TRIEBEL-LIZORKIN空间有界性定理振荡奇异积分粗糙核相位函数运营商证明径向 Oscillatory singular integral

【基金项目】

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Supported by the National Natural Science Foundation of China （11026104, 11201103, 11226108）

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In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase functio

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Boundedness of oscillatory singular integral with rough kernels on Triebel-Lizorkin spaces

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