1. Complex symmetric weighted composition operators on the Hardy space
- Author
-
Ze-Hua Zhou, Shi-An Han, and Cao Jiang
- Subjects
Weight function ,Pure mathematics ,Degree (graph theory) ,Composition operator ,010102 general mathematics ,Hardy space ,Composition (combinatorics) ,01 natural sciences ,Hermitian matrix ,symbols.namesake ,Ordinary differential equation ,symbols ,0101 mathematics ,Algebraic number ,Mathematics - Abstract
This paper identifies a class of complex symmetric weighted composition operators on H2(D) that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.
- Published
- 2020