Some Oscillatory Singular Integrals on Herz-type Spaces (Ⅱ)

被引：0

作者：

Gary Sampson

机构：

[1] AL 36849-5310

[2] Auburn University Auburn

[3] Department of Mathematics

[4] USA

来源：

Acta Mathematicae Applicatae Sinica(English Series) | 2002年 / 03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, the authors prove that some oscillatory singular integral operators of non-convolution type with non-polynomial phases are bounded from the Herz-type Hardy spaces to the Herz spaces and from the Hardy spaces associated with the Beurling algebras to the Beurling algebras in higher dimensions, even though it is well-known that these operators are not bounded from the Hardy space H1(Rn) into the Lebesgue spaceL1(Rn).

引用

页码：365 / 376

页数：12

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