Properties of Newton polynomials and Toeplitz operators on Newton spaces

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1007/s43034-023-00274-0

Properties of Newton polynomials and Toeplitz operators on Newton spaces

Eungil Ko, Ji Eun Lee, Jongrak Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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).

Original language	English
Article number	55
Journal	Annals of Functional Analysis
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/s43034-023-00274-0
State	Published - Jul 2023

Bibliographical note

Publisher Copyright:
© 2023, Tusi Mathematical Research Group (TMRG).

Keywords

Newton polynomials
Newton space
Toeplitz operator

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10.1007/s43034-023-00274-0

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abstract = "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).",

keywords = "Newton polynomials, Newton space, Toeplitz operator",

author = "Eungil Ko and Lee, {Ji Eun} and Jongrak Lee",

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AU - Lee, Ji Eun

AU - Lee, Jongrak

PY - 2023/7

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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

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DO - 10.1007/s43034-023-00274-0

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VL - 14

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 3

M1 - 55

ER -

Properties of Newton polynomials and Toeplitz operators on Newton spaces

Abstract

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Keywords

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