从H~∞和Bloch空间到B~α空间的算子M_uD^2C_φ的有界性和紧性  

The Boundedness and Compactness of the Operator M_uD^2C_φ from the H~∞ and Bloch Space to the B~α Space

作　　者：周林[1] 曹成堂[1] ZHOU Lin;CAO Cheng-tang(Lianyungang Radio and TV University,Lianyungang,Jiangsu 222006,China)

机构地区：[1]连云港广播电视大学,江苏连云港222006

出　　处：《伊犁师范学院学报（自然科学版）》2018年第1期10-17,共8页Journal of Yili Normal University：Natural Science Edition

摘　　要：主要讨论了单位圆盘上H~∞和Bloch空间到空间的算子M_uD^2C_φ的有界性和紧性,得到了从H~∞和Bloch空间到B~α空间的算子M_uD^2C_φ的有界算子或紧算子的充要条件.This paper discusses the boundedness and compactness of the operator MuD2Cφfrom the H∞and Bloch space to the Bαspace space on the unit disk.Some necessary and sufficient conditions are given for which Bαis a bounded or a compact operator from the H∞and Bloch space to the Bαspace.

关 键 词：算子MuD2Cφ H∞空间 Α-BLOCH空间 

分 类 号：O177.2[理学—数学] O174.5[理学—基础数学]