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Weighted composition operator on the Fock space

Author(s): Sei-ichiro Ueki
Journal: Proc. Amer. Math. Soc. 135 (2007), 1405-1410.
MSC (2000): Primary 47B38; Secondary 30D15
Posted: October 27, 2006
Errata: Proc. Amer. Math. Soc. (recently posted)
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Abstract: We characterize the boundedness and compactness of a weighted composition operator on the Fock space. Our results use a certain integral transform. We also estimate the essential norm of a weighted compositon operator. The result could be extended to the higher-dimensional case.

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Additional Information:

Sei-ichiro Ueki
Affiliation: Department of Mathematics, Nippon Institute of Technology, Miyashiro, Saitama 345-8501, Japan
Address at time of publication: 2-18-4, Miyashiro-Machi Chuo, Minamisaitama, Saitama 345-0821 Japan
Email: sueki@camel.plala.or.jp

DOI: 10.1090/S0002-9939-06-08605-9
PII: S 0002-9939(06)08605-9
Keywords: Weighted composition operators, Fock space, entire function
Received by editor(s): October 25, 2005
Received by editor(s) in revised form: December 5, 2005
Posted: October 27, 2006
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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