Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Composition operators on spaces of entire functions

Author(s): Gerardo A. Chacón; Gerardo R. Chacón; José Giménez
Journal: Proc. Amer. Math. Soc. 135 (2007), 2205-2218.
MSC (2000): Primary 47B33; Secondary 47B38, 47A16, 32A15
Posted: March 2, 2007
MathSciNet review: 2299498
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Abstract: In this paper we study composition operators on spaces of entire functions. We determine which entire functions induce bounded composition operators on the Paley-Wiener space, $L_\pi^2$ , and on the $E^2(\gamma)$ spaces. In addition, we characterize compact composition operators on these spaces. We also study the cyclic properties of composition operators acting on $L_\pi^2$ .

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