Weighted composition operator on the Fock space
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Erratum: Proc. Amer. Math. Soc. 135 (2007), 3403-3403.
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.References
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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
- Received by editor(s): October 25, 2005
- Received by editor(s) in revised form: December 5, 2005
- Published electronically: October 27, 2006
- Communicated by: Joseph A. Ball
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1405-1410
- MSC (2000): Primary 47B38; Secondary 30D15
- DOI: https://doi.org/10.1090/S0002-9939-06-08605-9
- MathSciNet review: 2276649