TY - JOUR
T1 - Characterizations of Square Roots of Unitary Weighted Composition Operators on H2
AU - Kim, Yoenha
AU - Ko, Eungil
N1 - Funding Information:
This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177) and the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2020R1I1A1A01065346).
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/1
Y1 - 2022/1
N2 - In this paper we study the square roots of unitary weighted composition operators on the Hardy space H2, i.e., Wf,φ when Wg,ψ=Wf,φ2 is unitary. In particular, we provide the explicit forms of the symbol functions φ and f of such Wf,φ. Moreover, we show that the square roots Wf,φ of a unitary weighted composition operator are normal. Finally, we investigate several properties of such Wf,φ.
AB - In this paper we study the square roots of unitary weighted composition operators on the Hardy space H2, i.e., Wf,φ when Wg,ψ=Wf,φ2 is unitary. In particular, we provide the explicit forms of the symbol functions φ and f of such Wf,φ. Moreover, we show that the square roots Wf,φ of a unitary weighted composition operator are normal. Finally, we investigate several properties of such Wf,φ.
KW - Invariant subspace
KW - Unitary weighted composition operator
KW - Weighted composition operator
UR - http://www.scopus.com/inward/record.url?scp=85123023215&partnerID=8YFLogxK
U2 - 10.1007/s11785-021-01193-5
DO - 10.1007/s11785-021-01193-5
M3 - Article
AN - SCOPUS:85123023215
SN - 1661-8254
VL - 16
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 1
M1 - 14
ER -