Remarks on Composition Operators on the Newton Space

Eungil Ko, Ji Eun Lee, Jongrak Lee

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study properties of composition operators on the Newton space, i.e., the Hilbert space of analytic functions which have the Newton polynomials as an orthonormal basis. In particular, we focus on various properties of the composition operator CT induced by T on the Newton space where T(z) = z+ 1. Moreover, we examine conditions on the symbol φ for the induced composition operator Cφ which belongs to Newton space N2(P) where φ is a linear fraction transformation or an analytic function of P. Finally, we concern complex symmetric composition operators on the Newton space N2(P).

Original languageEnglish
Article number205
JournalMediterranean Journal of Mathematics
Volume19
Issue number5
DOIs
StatePublished - Oct 2022

Keywords

  • Newton space
  • complex symmetric operator
  • composition operator

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