Composition operators on Hilbert spaces of entire functions

• Main Authors: Doan, Minh Luan, Khoi, Le Hai
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2015
• Subjects: Compact difference; Hilbert spaces; Composition operators; Boundedness; Compactness; Essential norm
• Online Access: https://hdl.handle.net/10356/81327; http://hdl.handle.net/10220/39229
• Institution: Nanyang Technological University

In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as...