A Note on Invertible Weighted Composition Operators on the Fock Space of $\mathbb{C}^N$
Received:June 21, 2015  Revised:September 07, 2015
Key Words: Fock space   weighted composition operator   invertible   unitary  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11201274; 11471189).
Author NameAffiliation
Liankuo ZHAO School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 041004, P. R. China 
Hits: 2454
Download times: 2058
Abstract:
      This paper shows that a bounded invertible weighted composition operator on the Fock space of $\mathbb{C}^N$ is nonzero multiples of a unitary operator, which is an addition to the recent result on invertible weighted composition operator on the Fock space of $\mathbb{C}^N$ and an extension to the corresponding result on the Fock space of $\mathbb{C}$.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.03.011
View Full Text  View/Add Comment