@article{8a4c45b8dc604aa4bc7fa01a40cc542d,

title = "Properties of Newton polynomials and Toeplitz operators on Newton spaces",

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",

note = "Funding Information: The authors would like to thank the reviewers for their suggestions that helped improve the original manuscript in its present form. Eungil Ko was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). Ji Eun Lee was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (no. 2022R1H1A2091052). Jongrak Lee was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2021R1C1C1008713). Publisher Copyright: {\textcopyright} 2023, Tusi Mathematical Research Group (TMRG).",

year = "2023",

month = jul,

doi = "10.1007/s43034-023-00274-0",

language = "English",

volume = "14",

journal = "Annals of Functional Analysis",

issn = "2008-8752",

publisher = "Tusi Mathematical Research Group (TMRG)",

number = "3",

}