Multiplication and Toeplitz Operators on the Generalized Derivative Hardy Space
- 주제(키워드) Derivative Hardy spaces , Multiplication operator , m-isometry , Complete Pick property , Toepltiz operator , Hyponormal
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math & Stat, Seoul 143747, South Korea; [Lee, Jongrak] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER BASEL AG
- 발행년도 2019
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000166012
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s11785-019-00954-7
초록/요약
In this paper, we propose the generalized derivative Hardy space S-alpha,beta(2)(D) which consists of functions whose derivatives are in the Hardy and Bergman spaces. In particular, we state basic results for S-alpha,beta(2) (D) and focus on m-isometric multiplication operators. Moreover, we consider the complete Pick property in S-alpha,beta(2)(D) and several applications of having the complete Pick property, which is related to the multiplication operators and composition operators. Finally, we study the Toeplitz operators on S-alpha,beta(2)(D) and investigate a necessary and sufficient condition for the hyponormality of Toeplitz operator T-phi on S-alpha,beta(2)(D).
more