一类振荡奇异积分算子的有界性

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 598-604.

一类振荡奇异积分算子的有界性

1. College of Mathematics, Qingdao University2. Department of Mathematics, Teacher's College of Qingdao University

收稿日期:2006-09-04 出版日期:2009-12-30 发布日期:2023-06-19
作者简介:ZHAO Kai(1960-), male, native of Gaomi, Shandong, a professor of Qingdao University, Ph.D., engages in harmonic analysis and wavelet.

Boundedness of a Kind of Oscillatory Singular Integral Operators

1. College of Mathematics, Qingdao University2. Department of Mathematics, Teacher's College of Qingdao University

Received:2006-09-04 Online:2009-12-30 Published:2023-06-19
About author:ZHAO Kai(1960-), male, native of Gaomi, Shandong, a professor of Qingdao University, Ph.D., engages in harmonic analysis and wavelet.

摘要/Abstract

摘要： In this paper, we study a kind of oscillatory singular integral operator T with Calderon-Zygrnund kernel, which had been studied by Ricci and Stein in[6], and extend their result. We get that T is bounded on L^p(Rⁿ)(1<p<∞) when-1<μ<αd(1/2)-|(1/p)-(1/2)|).

关键词: oscillatory singular integral operator, Calder6n-Zygmund kernel, boundedness

Abstract: In this paper, we study a kind of oscillatory singular integral operator T with Calderon-Zygrnund kernel, which had been studied by Ricci and Stein in[6], and extend their result. We get that T is bounded on L^p(Rⁿ)(1<p<∞) when-1<μ<αd(1/2)-|(1/p)-(1/2)|).

Key words: oscillatory singular integral operator, Calder6n-Zygmund kernel, boundedness

中图分类号:

O177

赵凯, 王磊. 一类振荡奇异积分算子的有界性[J]. 数学季刊, 2009, 24(4): 598-604.

ZHAO Kai, WANG. Boundedness of a Kind of Oscillatory Singular Integral Operators [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 598-604.

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