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Commuting Toeplitz operators on the Hardy space of the polydisk
Author(s):
Young Joo
Lee
Journal:
Proc. Amer. Math. Soc.
138
(2010),
189-197.
MSC (2000):
Primary 47B35;
Secondary 32A35
Posted:
August 19, 2009
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Abstract:
We study the commuting problem for Toeplitz operators on the Hardy space of the polydisk. We consider two symbols where one is an arbitrarily bounded symbol and the other is a bounded symbol which has the form of a sum of an analytic function and a co-analytic function. We then give a necessary and sufficient condition on the symbols for which the corresponding Toeplitz operators commute each other.
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Additional Information:
Young Joo
Lee
Affiliation:
Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea
Email:
leeyj@chonnam.ac.kr
DOI:
10.1090/S0002-9939-09-10073-4
PII:
S 0002-9939(09)10073-4
Keywords:
Toeplitz operators,
Hardy space,
polydisk.
Received by editor(s):
February 24, 2009
Posted:
August 19, 2009
Communicated by:
Marius Junge
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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