TY - JOUR
T1 - Properties of Newton polynomials and Toeplitz operators on Newton spaces
AU - Ko, Eungil
AU - Lee, Ji Eun
AU - Lee, Jongrak
N1 - Publisher Copyright:
© 2023, Tusi Mathematical Research Group (TMRG).
PY - 2023/7
Y1 - 2023/7
N2 - 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).
AB - 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).
KW - Newton polynomials
KW - Newton space
KW - Toeplitz operator
UR - https://www.scopus.com/pages/publications/85159932348
U2 - 10.1007/s43034-023-00274-0
DO - 10.1007/s43034-023-00274-0
M3 - Article
AN - SCOPUS:85159932348
SN - 2008-8752
VL - 14
JO - Annals of Functional Analysis
JF - Annals of Functional Analysis
IS - 3
M1 - 55
ER -