The Brown-Halmos theorems on the Fock-Sobolev space
IF 1.2
3区 数学
Q1 MATHEMATICS
Journal of Mathematical Analysis and Applications
Pub Date : 2025-03-27
DOI:10.1016/j.jmaa.2025.129532
引用次数: 0
Abstract
In this paper, we generalize the Brown-Halmos theorems to the Fock-Sobolev space. We obtain that the Brown-Halmos theorems hold true on the Fock-Sobolev space for Toeplitz operators with harmonic symbols. We completely explain the difference between the geometries of the Fock and Fock-Sobolev space by using the Berezin transform.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.
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