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伴随Herz空间的Hardy空间上的振荡奇异积分
OSCILLATORY SINGULAR INTEGRALS ON HARDY SPACES ASSOCIATED WITH HERZ SPACES
【摘要】 令0<p=1<q<∞,α=n(1/p-1/q),证明了振荡奇异积分算子是从HK到(Rn)的有界算子,只要p,q满足一定关系。
【Abstract】 Let 0<p=l<q<∞ andα=n(1/p-1/q). It is proved that the oscillatory singular integral operators (convolution type or non-convolution type) are bounded from the non-homogeneous Hardy spaces HK_q ̄(a.P)(Rn) to the non-homogeneous Herz spaces K_q ̄(a.P)(Rn) provided p and q satisfy some inequalities.
【关键词】 振荡奇异积分;
Herz空间;
Hardy空间;
【Key words】 oscillatory singular integral; Herz spaces; Hardy spaces;
【Key words】 oscillatory singular integral; Herz spaces; Hardy spaces;
- 【文献出处】 北京师范大学学报(自然科学版) ,JOURNAL OF BEIJING NORMAL UNIVERSITY , 编辑部邮箱 ,1996年04期
- 【分类号】O177.8
- 【被引频次】1
- 【下载频次】18