TY - JOUR
T1 - Remarks on Composition Operators on the Newton Space
AU - Ko, Eungil
AU - Lee, Ji Eun
AU - Lee, Jongrak
N1 - Funding Information:
The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (no. 2019R1F1A1058633) the Ministry of Education (no. 2019R1A6A1A11051177). The second author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (no. 2019R1A2C1002653). The third author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (no. 2021R1C1C1008713).
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 - Newton space
KW - complex symmetric operator
KW - composition operator
UR - http://www.scopus.com/inward/record.url?scp=85137213893&partnerID=8YFLogxK
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 -