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Complex symmetric Toeplitz operators on the generalized derivative Hardy space
- Title
- Complex symmetric Toeplitz operators on the generalized derivative Hardy space
- Authors
- Ko E.; Lee J.E.; Lee J.
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2022
- Journal Title
- Journal of Inequalities and Applications
- ISSN
- 1025-5834
- Citation
- Journal of Inequalities and Applications vol. 2022, no. 1
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- The generalized derivative Hardy space Sα,β2(D) consists of all functions whose derivatives are in the Hardy and Bergman spaces as follows: for positive integers α, β, Sα,β2(D)={f∈H(D):∥f∥Sα,β22=∥f∥H22+α+βαβ∥f′∥A22+1αβ∥f′∥H22<∞}, where H(D) denotes the space of all functions analytic on the open unit disk D. In this paper, we study characterizations for Toeplitz operators to be complex symmetric on the generalized derivative Hardy space Sα,β2(D) with respect to some conjugations Cξ, Cμ,λ. Moreover, for any conjugation C, we consider the necessary and sufficient conditions for complex symmetric Toeplitz operators with the symbol φ of the form φ(z)=∑n=1∞φˆ(−n)‾z‾n+∑n=0∞φˆ(n)zn. Next, we also study complex symmetric Toeplitz operators with non-harmonic symbols on the generalized derivative Hardy space Sα,β2(D). © 2022, The Author(s).
- DOI
- 10.1186/s13660-022-02810-3
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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