TY - JOUR
T1 - A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces
AU - Lee, Jongrak
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2023/9
Y1 - 2023/9
N2 - In this paper, we discuss block Toeplitz operators TΦ whose symbols are in the class of normal functions Φ (z) = G∗(z) + F(z) , where F(z)=Amzm+ANzNandG(z)=A-mzm+A-NzN(Ai∈M2), on the weighted Bergman space. Additionally, we present a necessary and sufficient condition for the hyponormality of the block Toeplitz operators TΦ .
AB - In this paper, we discuss block Toeplitz operators TΦ whose symbols are in the class of normal functions Φ (z) = G∗(z) + F(z) , where F(z)=Amzm+ANzNandG(z)=A-mzm+A-NzN(Ai∈M2), on the weighted Bergman space. Additionally, we present a necessary and sufficient condition for the hyponormality of the block Toeplitz operators TΦ .
KW - Block Toeplitz operators
KW - Hyponormal
KW - Weighted Bergman space
UR - https://www.scopus.com/pages/publications/85164335502
U2 - 10.1007/s11785-023-01381-5
DO - 10.1007/s11785-023-01381-5
M3 - Article
AN - SCOPUS:85164335502
SN - 1661-8254
VL - 17
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 6
M1 - 78
ER -