@Article{CMR-31-281, author = {Lixia and Feng and and 18667 and and Lixia Feng and Liankuo and Zhao and and 18668 and and Liankuo Zhao}, title = {A Note on Weighted Composition Operators on the Fock Space}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {3}, pages = {281--284}, abstract = {

Based on a new characterization of bounded and compact weighted composition operators on the Fock space obtained by Le T (Le T. Normal and isometric weighted composition operators on the Fock space. Bull. London. Math. Soc., 2014, 46: 847–856), this paper shows that a bounded weighted composition operator on the Fock space is a Fredholm operator if and only if it is an invertible operator, and if and only if it is a nonzero constant multiple of a unitary operator. The result is very different from the corresponding results on the Hardy space and the Bergman space.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.03.11}, url = {http://global-sci.org/intro/article_detail/cmr/18930.html} }