Weighted Composition Operators on the Space of Bounded Harmonic Functions

2011 ◽  
Vol 71 (1) ◽  
pp. 91-111 ◽  
Author(s):  
Kei Ji Izuchi ◽  
Yuko Izuchi ◽  
Shûichi Ohno
Keyword(s):  
Harmonic Functions ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Bounded Harmonic Functions

Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II

2018 ◽  
Vol 85 (1-2) ◽  
pp. 92
Author(s):  
Kei Ji Izuchi ◽  
Yuko Izuchi
Keyword(s):  
Harmonic Functions ◽  
Composition Operators ◽  
Strong Operator Topology ◽  
Connected Components ◽  
Weighted Composition Operators ◽  
Strong Operator ◽  
Weighted Composition ◽  
Path Connected ◽  
Bounded Harmonic Functions

The path connected components are determined in the space of weighted composition operators on the space of bounded harmonic functions with the strong operator topology.

scholarly journals Invertible Weighted Composition Operators on the Fock Space ofCN

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Liankuo Zhao
Keyword(s):  
Fock Space ◽  
Composition Operators ◽  
Complete Characterization ◽  
Weighted Composition Operators ◽  
Weighted Composition

We give a complete characterization of bounded invertible weighted composition operators on the Fock space ofCN.

Essential norm of weighted composition operators

Analysis ◽  
2018 ◽  
Vol 38 (3) ◽  
pp. 145-154
Author(s):  
Kuldip Raj ◽  
Charu Sharma
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Function Spaces ◽  
Weighted Composition Operators ◽  
Closed Range ◽  
Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

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