Properties of Newton polynomials and Toeplitz operators on Newton spaces
- 주제(키워드) Newton polynomials , Newton space , Toeplitz operator
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000208981
- 본문언어 영어
- Published As https://doi.org/10.1007/s43034-023-00274-0
초록/요약
In this paper, we study properties of Toeplitz operators on the Newton space N2(H) which has Newton polynomials as an orthonormal basis. We show that for N=(N0,N1,…,Nn)T and m=(1,z,…,zn)T , the equation VUN=m is the transformations between the basis functions which map monomials to Newton polynomials where V and U are given as in Theorem 2.1. Moreover, we consider the truncated Toeplitz operator on N2(H). © 2023, Tusi Mathematical Research Group (TMRG).
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