COMMUTATIVITY OF QUASI-HOMOGENEOUS H-TOEPLITZ OPERATORS ON THE FOCK SPACE
Abstract
In this paper the commutativity of quasi-homogeneous H-Toeplitz operators on the Fock space is investigated.Necessary conditions for the commutativity of quasi-homogeneous H-Toeplitz operators are formulated in terms of Mellin transforms of the associated symbols.It is shown that if two quasihomogeneous H-Toeplitz operators of even degree commute then their degrees are same.The case of odd degrees is also examined, and it is proved that a quasihomogeneous H-Toeplitz operator of odd degree does not commute with one of even degree.
Fields of Study & Subjects
Holomorphic and Operator Theory
Functional Equations Stability Results
Advanced Banach Space Theory
Publication details
- Journal / source
- Poincare Journal of Analysis and Applications
- Volume
- 13
- Issue
- 1
- Publication date
- 2 January 2026