A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ-TYPE SPACES

被引：0
作者：
G. Sampson(Auburn University
机构：
来源：
Analysis in Theory and Applications | 2003年 / 01期
关键词：
oscillatory singular integral; phase; Lebesgue space; Herz space; Beurling algebra; Hardy space;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Herz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebras in higher dimensions.
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收藏
页码：37 / 46
页数：10
相关论文
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  • [1] Some Oscillatory Singular Integrals on Herz-type Spaces (II)[J] . Gary Sampson,Jing-shi Xu,Da-chun Yang*.Acta Mathematicae Applicatae Sinica, English Series . 2002 (3)
  • [2] The complete (Lp, Lp) mapping properties for a class of oscillatory integrals[J] . Yibiao Pan,Gary Sampson.The Journal of Fourier Analysis and Applications . 1998 (1)
  • [3] Hilbert integrals, singular integrals, and Radon transforms I[J] . D. H. Phong,E. M. Stein.Acta Mathematica . 1986 (1)
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