Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Toeplitz operators on the polydisk


Authors: Sunhua Sun and Dechao Zheng
Journal: Proc. Amer. Math. Soc. 124 (1996), 3351-3356
MSC (1991): Primary 47B35
MathSciNet review: 1328380
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B35

Retrieve articles in all journals with MSC (1991): 47B35


Additional 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

DOI: https://doi.org/10.1090/S0002-9939-96-03425-9
Keywords: Toeplitz operator, Bergman space, polydisk
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
Article copyright: © Copyright 1996 American Mathematical Society