Open Access
april 2010 Weighted composition operators on some function spaces of entire functions
Sei-ichiro Ueki
Bull. Belg. Math. Soc. Simon Stevin 17(2): 343-353 (april 2010). DOI: 10.36045/bbms/1274896210

Abstract

We characterize the boundedness and compactness of the weighted composition operators acting between some Fock-type spaces. Motivated by some recent ideas by S. Steviić we also calculate the operator norm of some of these operators. Also we determine the form of the symbol which induces a bounded or compact composition operator between some Fock-type spaces.

Citation

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Sei-ichiro Ueki. "Weighted composition operators on some function spaces of entire functions." Bull. Belg. Math. Soc. Simon Stevin 17 (2) 343 - 353, april 2010. https://doi.org/10.36045/bbms/1274896210

Information

Published: april 2010
First available in Project Euclid: 26 May 2010

zbMATH: 1191.47032
MathSciNet: MR2663477
Digital Object Identifier: 10.36045/bbms/1274896210

Subjects:
Primary: 47B38
Secondary: 30D15

Keywords: essential norm , Fock spaces , weighted composition operators

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 2 • april 2010
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