Characterizations of Square Roots of Unitary Weighted Composition Operators on H-2
- 주제(키워드) Weighted composition operator , Unitary weighted composition operator , Invariant subspace
- 주제(기타) Mathematics, Applied
- 주제(기타) Mathematics
- 설명문(일반) [Kim, Yoenha] Ajou Univ, Dasan Univ Coll, Suwon 16499, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER BASEL AG
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190361
- 본문언어 영어
- Published As https://doi.org/10.1007/s11785-021-01193-5
초록/요약
In this paper we study the square roots of unitary weighted composition operators on the Hardy space H-2, i.e., W-f,W-phi when W-g,W-psi = W-g,phi(2) is unitary. In particular, we provide the explicit forms of the symbol functions phi and f of such W-f,W-phi. Moreover, we show that the square roots W-f,W-phi. of a unitary weighted composition operator are normal. Finally, we investigate several properties of such W-f,W-phi.
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