TY - JOUR
T1 - Remarks on Composition Operators on the Newton Space
AU - Ko, Eungil
AU - Lee, Ji Eun
AU - Lee, Jongrak
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/10
Y1 - 2022/10
N2 - 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).
AB - 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).
KW - complex symmetric operator
KW - composition operator
KW - Newton space
UR - https://www.scopus.com/pages/publications/85137213893
U2 - 10.1007/s00009-022-02130-2
DO - 10.1007/s00009-022-02130-2
M3 - Article
AN - SCOPUS:85137213893
SN - 1660-5446
VL - 19
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 5
M1 - 205
ER -