Acta mathematica scientia, Series B >
CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Qp SPACES
Received date: 2008-05-13
Revised date: 2009-10-05
Online published: 2011-03-20
Supported by
This article was supported by NNSF of China (10771130), Specialized Research Fund for the Doctoral Program of High Education (2007056004), NSF of Guangdong Province (10151503101000025), and NSF of Fujian Province (2009J01004).
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 Mz on Qp spaces is cellular indecomposable.
Key words： Cyclic vectors; Outer functions; Cellular indecomposable; Qp spaces
YE Shan-Li , LOU Zeng-Jian . CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Qp SPACES[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 434 -440 . DOI: 10.1016/S0252-9602(11)60243-9
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