Remarks on Composition Operators on the Newton Space
- 주제(키워드) Newton space , composition operator , complex symmetric operator
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea; [Lee, Jongrak] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER BASEL AG
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000202949
- 본문언어 영어
- Published As https://doi.org/10.1007/s00009-022-02130-2
초록/요약
In this paper, we study properties of composition operators on the Newton space, i.e., the Hilbert space of analytic functions which have the Newton polynomials as an orthonormal basis. In particular, we focus on various properties of the composition operator C-T induced by T on the Newton space where T(z) = z + 1. Moreover, we examine conditions on the symbol phi for the induced composition operator C-phi which belongs to Newton space N-2 (P) where phi is a linear fraction transformation or an analytic function of P. Finally, we concern complex symmetric composition operators on the Newton space N-2 (P).
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