Properties of Newton polynomials and Toeplitz operators on Newton spaces

Eungil Ko, Ji Eun Lee, Jongrak Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Article number55
JournalAnnals of Functional Analysis
Issue number3
StatePublished - Jul 2023

Bibliographical note

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


  • Newton polynomials
  • Newton space
  • Toeplitz operator


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