Bulletin of the Belgian Mathematical Society - Simon Stevin

Weighted composition operators on some function spaces of entire functions

Sei-ichiro Ueki
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 17, Number 2 (2010), 343-353.

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.

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Primary Subjects: 47B38
Secondary Subjects: 30D15
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1274896210
Mathematical Reviews number (MathSciNet): MR2663477
Zentralblatt MATH identifier: 1191.47032


2012 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin