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Characterizations of Square Roots of Unitary Weighted Composition Operators on H2
- Title
- Characterizations of Square Roots of Unitary Weighted Composition Operators on H2
- Authors
- Kim Y.; Ko E.
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2022
- Journal Title
- Complex Analysis and Operator Theory
- ISSN
- 1661-8254
- Citation
- Complex Analysis and Operator Theory vol. 16, no. 1
- Keywords
- Invariant subspace; Unitary weighted composition operator; Weighted composition operator
- Publisher
- Birkhauser
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- 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. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
- DOI
- 10.1007/s11785-021-01193-5
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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