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On the commutant of operators of multiplication by univalent functions |
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| Authors: | B. Khani Robati S. M. Vaezpour |
| Affiliation: | Department of Mathematics, Shiraz University, Shiraz 71454, Iran ; Department of Mathematics, Yazd University, Yazd, Iran |
| Abstract: | Let |
| Keywords: | Commutant multiplication operators Banach space of analytic functions univalent function bounded point evaluation |
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be a certain Banach space consisting of continuous functions defined on the open unit disk. Let 
be a univalent function defined on 
, and assume that 
denotes the operator of multiplication by 
. We characterize the structure of the operator 
such that 
. We show that 
for some function 
in 
. We also characterize the commutant of 
under certain conditions.