Abstract
In this paper we study weighted composition operators (Formula presented.) commuting with self-adjoint weighted composition operators (Formula presented.) on the Hardy space (Formula presented.). In particular, we investigate which combinations of symbol functions g and ψ give rise to (Formula presented.) commuting with a self-adjoint weighted composition operator on (Formula presented.). We also show that these commuting weighted composition operators are normal.
Original language | English |
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Pages (from-to) | 2076-2089 |
Number of pages | 14 |
Journal | Complex Variables and Elliptic Equations |
Volume | 66 |
Issue number | 12 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2020 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 47B20
- 47B33
- 47B38
- Self-adjoint weighted composition operator
- normal weighted composition operator
- operators commuting with self-adjoint weighted composition operators