Hardy型空间A_μ中的强逆不等式  

Strong Converse Inequality in Hardy Type Spaces A_μ

作　　者：陈英伟[1] 刘玉军[2] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061 [2]河北师范大学职技学院,河北石家庄050016

出　　处：《河北师范大学学报（自然科学版）》2011年第4期336-342,共7页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11071230);河北经贸大学科研启动基金

摘　　要：在CN中的星形圆型域上引入了一种由径向导数定义的K-泛函,并首次引入了Aμ空间,其包含了许多著名全纯函数空间包括Hardy空间、Bergman空间和Fock空间等.由Riesz算子通过K-泛函得到了强逆不等式,并考虑了在Riesz算子的线性组合情况下的结果.A kind of K-functional is introduced by the radial derivative in starlike circular domain of CN.First Aμ spaces including many holomorphic spaces in some sense is introduced,such as Hardy spaces,Bergman spaces and Fock spaces are introduced for the first time.The strong converse inequality through the K-functional is obtained by Riesz operators.Finally,the results in the case of linear combination of Riesz means are obtained.

关 键 词：Aμ空间 K-泛函 RIESZ算子 强逆不等式 

分 类 号：O174.41[理学—数学]