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Complex symmetric Toeplitz operators on the Hardy spaces and Bergman spaces.
- Source :
-
Annals of Functional Analysis . Jul2024, Vol. 15 Issue 3, p1-18. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we first completely characterize the complex symmetric Toeplitz operators T φ on the Hardy spaces H 2 (D) with conjugations C p i , j and C n . Next, we give a method to determine the coefficients of φ (z) when T φ is complex symmetric on H 2 (D) with the conjugation C σ , which partially solves a problem raised by [2]. Finally, we consider the complex symmetric Toeplitz operators T φ on the weighted Bergman spaces A 2 (B n) and the pluriharmonic Bergman spaces b 2 (B n) with conjugations C V , where V is a symmetric permutation matrix. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26397390
- Volume :
- 15
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Annals of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 177056607
- Full Text :
- https://doi.org/10.1007/s43034-024-00352-x