Bloch空间的算子C_φD的本性范数  

Essential Norms of the Operator C_φD between Bloch Spaces

作　　者：曹成堂[1] 黄兴华[1] 

机构地区：[1]连云港广播电视大学建筑工程系,江苏连云港222006

出　　处：《淮海工学院学报（自然科学版）》2013年第1期9-11,共3页Journal of Huaihai Institute of Technology:Natural Sciences Edition

摘　　要：主要讨论了单位圆盘Bloch上的算子CφD的本性范数.根据定义,计算得到了Bloch上的算子CφD的本性范数的估计,其中下界是精确的,即2limsup|φ(z)|→1(1-|z|2)|φ′(z)|/(1-|φ(z)|2)2≤‖CφD‖e,X→Y≤Climsup|φ(z)|→1(1-|z|2)|φ′(z)|/(1-|φ(z)|2)2.The essential norms of the operator CφD between Bloch spaces on the unit disk were discussed. The estimates for the essential norms of the operator CφD between Bloch space wereobtained from the definition where the lower bound is accurate.

关 键 词：算子CφD BLOCH空间 本性范数 

分 类 号：O177.2[理学—数学] O174.5[理学—基础数学]