TY - JOUR
T1 - Conjugations and Complex Symmetric Toeplitz Operators on the Weighted Hardy Space
AU - Ko, Eungil
AU - Lee, Ji Eun
AU - Lee, Jongrak
N1 - Funding Information:
Eungil Ko was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIT) (No. 2019R1F1A1058633). Ji Eun Lee was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIT) (No. 2019R1A2C1002653). Jongrak Lee was supported by Basic Science Research Program to Research Institute for Basic Sciences (RIBS) of Jeju National University through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A10072987).
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2021/8
Y1 - 2021/8
N2 - In this paper, we introduce a new conjugation Cξ on the weighted Hardy space Hρ(D) , where Cξ is given by (2.1) in Theorem 2.2. In particular, we prove that Cξ and Cμ,λ are unitarily equivalent where Cμ,λ is given in Ko and Lee (J Math Anal Appl 434:20–34, 2016). Using this, we investigate a complex symmetric Toeplitz operator Tφ with respect to the conjugation Cξ on the weighted Hardy space Hρ(D). Finally, we consider Cμ,λ-invariant of Berezin transform.
AB - In this paper, we introduce a new conjugation Cξ on the weighted Hardy space Hρ(D) , where Cξ is given by (2.1) in Theorem 2.2. In particular, we prove that Cξ and Cμ,λ are unitarily equivalent where Cμ,λ is given in Ko and Lee (J Math Anal Appl 434:20–34, 2016). Using this, we investigate a complex symmetric Toeplitz operator Tφ with respect to the conjugation Cξ on the weighted Hardy space Hρ(D). Finally, we consider Cμ,λ-invariant of Berezin transform.
KW - Conjugation
KW - Toeplitz operator
KW - complex symmetric operator
KW - weighted Hardy space
UR - http://www.scopus.com/inward/record.url?scp=85105746127&partnerID=8YFLogxK
U2 - 10.1007/s00009-021-01754-0
DO - 10.1007/s00009-021-01754-0
M3 - Article
AN - SCOPUS:85105746127
SN - 1660-5446
VL - 18
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 4
M1 - 125
ER -