TY - JOUR
T1 - A Note on Weighted Composition Operators on the Fock Space
AU - Feng , Lixia
AU - Zhao , Liankuo
JO - Communications in Mathematical Research 
VL - 3
SP - 281
EP - 284
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.03.11
UR - https://global-sci.org/intro/article_detail/cmr/18930.html
KW - Fock space, weighted composition operator, Fredholm, invertible, unitary.
AB - <p style="text-align: justify;">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.</p>