Composition operators on Hilbert spaces of entire functions
Doan, Minh Luan
Khoi, Le Hai
Date of Issue2015-04-03
School of Physical and Mathematical Sciences
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)  as particular cases.
Comptes Rendus Mathematique
© 2015 Académie des sciences. This is the author created version of a work that has been peer reviewed and accepted for publication in Comptes Rendus Mathematique, published by Elsevier on behalf of Académie des sciences. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.crma.2015.03.007].