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On Composition Operators on A2

Journal: 
An-Najah University Journal for Research - Natural Sciences - Volume 9, Issue 1, 1995
Start Page: 
108
End Page: 
123
Authors: 
Mahmud Ilayyan Masri
Abstract: 

If (?) is an analytic function mapping the open unit disk D into itself and A2 is the Bergman space of analytic functions on D, the compositon operator C?, on A2 is defined by C?f=fo?feA2. In this paper we consider the spectral radius, unitary equivalence, sub-normality of C? and study the case ?(z) = zm, m = 2, 3,….. in detail.

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