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Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space.
- Source :
-
Acta Mathematica Sinica . May2023, Vol. 39 Issue 5, p846-862. 17p. - Publication Year :
- 2023
-
Abstract
- In this paper, we mainly study the hyponormality of dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space. First we show that the dual Toeplitz operator with the bounded symbol is hyponormal if and only if it is normal. Then we obtain a necessary and sufficient condition for the dual Toeplitz operator Sφ with the symbol φ (z) = a z n 1 − m 1 z + b z n 2 − m 2 z (n1, n2, m1, m 2 ∈ N and a, b ∈ ℂ) to be hyponormal. Finally, we show that the rank of the commutator of two dual Toeplitz operators must be an even number if the commutator has a finite rank. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMMUTATION (Electricity)
*TOEPLITZ operators
*BERGMAN spaces
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 39
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 164176251
- Full Text :
- https://doi.org/10.1007/s10114-023-1382-9