Matrix representation of Toeplitz operators on Newton spaces

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1186/s13660-024-03126-0

Matrix representation of 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 several properties of an orthonormal basis {N_n(z)} for the Newton space N²(P). In particular, we investigate the product of N_m and N_m and the orthogonal projection P of N_n‾N_m that maps from L²(P) onto N²(P). Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space N²(P).

Original language	English
Article number	43
Journal	Journal of Inequalities and Applications
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13660-024-03126-0
State	Published - 29 Mar 2024

Keywords

47A05
47B15
47B35
Newton polynomials
Newton space
The matrix of Toeplitz operator

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10.1186/s13660-024-03126-0

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keywords = "47A05, 47B15, 47B35, Newton polynomials, Newton space, The matrix of Toeplitz operator",

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

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AU - Lee, Ji Eun

AU - Lee, Jongrak

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PY - 2024/3/29

Y1 - 2024/3/29

N2 - In this paper, we study several properties of an orthonormal basis {Nn(z)} for the Newton space N2(P). In particular, we investigate the product of Nm and Nm and the orthogonal projection P of Nn‾Nm that maps from L2(P) onto N2(P). Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space N2(P).

AB - In this paper, we study several properties of an orthonormal basis {Nn(z)} for the Newton space N2(P). In particular, we investigate the product of Nm and Nm and the orthogonal projection P of Nn‾Nm that maps from L2(P) onto N2(P). Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space N2(P).

KW - 47A05

KW - 47B15

KW - 47B35

KW - Newton polynomials

KW - Newton space

KW - The matrix of Toeplitz operator

UR - https://www.scopus.com/pages/publications/85188905396

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DO - 10.1186/s13660-024-03126-0

M3 - Article

AN - SCOPUS:85188905396

SN - 1025-5834

VL - 2024

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 43

ER -

Matrix representation of Toeplitz operators on Newton spaces

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