Abstract
In this paper, we give a characterization of a complex symmetric Toeplitz operator (Formula presented.) on the weighted Bergman space (Formula presented.). We first give properties of complex symmetric Toeplitz operators (Formula presented.) on (Formula presented.). Next, we prove that if (Formula presented.) is complex symmetric with finite symbol, then (Formula presented.) is hyponormal on (Formula presented.) if and only if it is hyponormal on the Hardy space (Formula presented.). Finally, we consider the complex symmetric Toeplitz operator (Formula presented.) on (Formula presented.) when the conjugation is a special case.
| Original language | English |
|---|---|
| Pages (from-to) | 1393-1408 |
| Number of pages | 16 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 67 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2021 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 47B15
- Complex symmetric operator
- Primary 47B35
- Secondary 47A05
- Toeplitz operator
- normal operator
- weighted Bergman space