CYCCYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES  

作　　者：叶善力 娄增建 

机构地区：[1]Department of Mathematics, Fujian Normal University [2]Department of Mathematics, Shantou University

出　　处：《Acta Mathematica Scientia》2011年第2期434-440,共7页数学物理学报（B辑英文版）

基　　金：supported by NNSF of China (10771130);Specialized Research Fund for the Doctoral Program of High Education (2007056004);NSF of GuangdongProvince (10151503101000025);NSF of Fujian Province (2009J01004)

摘　　要：We identify the functions whose polynomial multiples are weak＊ dense in Qp spaces and prove that if ｜f（z）｜ ≥ ｜g（z）｜ and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operator Mx on Qp spaces is cellular indecomposable.We identify the functions whose polynomial multiples are weak＊ dense in Qp spaces and prove that if ｜f（z）｜ ≥ ｜g（z）｜ and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operator Mx on Qp spaces is cellular indecomposable.

关 键 词：Cyclic vectors Outer functions Cellular indecomposable Qp spaces 

分 类 号：O177.2[理学—数学]