Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces

2011 ◽  
Vol 218 (3) ◽  
pp. 929-934
Author(s):  
J.S. Manhas
Keyword(s):  
Banach Spaces ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Weighted Spaces ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Vector Valued

scholarly journals Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Xiaohong Fu ◽  
Xiangling Zhu
Keyword(s):  
Unit Ball ◽  
Composition Operator ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Holomorphic Functions ◽  
Weighted Spaces ◽  
Weighted Composition Operators ◽  
Weighted Composition

LetBnbe the unit ball ofCn,H(Bn)the space of all holomorphic functions inBn. Letu∈H(Bn)andαbe a holomorphic self-map ofBn. Forf∈H(Bn), the weigthed composition operatoruCαis defined by(uCαf)(z)=u(z)f(α(z)),z∈Bn.The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper.

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