Toeplitz operators on the polydisk
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- by Sunhua Sun and Dechao Zheng
- Proc. Amer. Math. Soc. 124 (1996), 3351-3356
- DOI: https://doi.org/10.1090/S0002-9939-96-03425-9
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Abstract:
In this paper it is shown that two analytic Toeplitz operators essentially doubly commute if and only if they doubly commute on the Bergman space of the polydisk.References
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Bibliographic Information
- Sunhua Sun
- Affiliation: Department of Mathematics, Sichuan University, Chengdu, People’s Republic of China
- Dechao Zheng
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Address at time of publication: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
- MR Author ID: 229147
- Received by editor(s): October 6, 1994
- Received by editor(s) in revised form: April 21, 1995
- Additional Notes: The first author was supported in part by the National Natural Science Foundation of China
The second author was supported in part by the National Science Foundation - Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3351-3356
- MSC (1991): Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-96-03425-9
- MathSciNet review: 1328380