青岛大学学报(自然科学版)2011,Vol.24Issue(2):10-14,5.DOI:10.3969/j.issn.1006-1037.2011.02.003
各向异性Herz型Hardy空间上的振荡奇异积分算子
Oscillatory Singular Integral Operators on Anisotropic Herz-type Hardy Spaces
杜宏彬 1赵凯 1邵帅 1王婷婷 1章迎春1
作者信息
- 1. 青岛大学数学科学学院,山东,青岛,266071
- 折叠
摘要
Abstract
The boundedness of the oscillatory singnlar integrals aperators on anisotropic Herz-type Hardy spaces is considered. Basing on the atomic decompositions. When polynomial phases provided ▽ yP (0,y) = 0 and p,q meet some certain conditions, the oscillatory singnlar integrals operators are bounded from anisotropic Herz-type Hardy spaces to anisotropic Herz spaces. This conclusion enriches the theories of boundedness of the oscillatory singular integrals operators on anisotropic Herz-type Hardy spaces.关键词
振荡奇异积分/各向异性/Hardy空间/有界性Key words
oscillatory singular integral/ anisotropic/ Hardy space/ boundedness分类
数理科学引用本文复制引用
杜宏彬,赵凯,邵帅,王婷婷,章迎春..各向异性Herz型Hardy空间上的振荡奇异积分算子[J].青岛大学学报(自然科学版),2011,24(2):10-14,5.