Commuting Toeplitz operators on the Hardy space of the polydisk
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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.References
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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
- Received by editor(s): February 24, 2009
- Published electronically: August 19, 2009
- Communicated by: Marius Junge
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 189-197
- MSC (2000): Primary 47B35; Secondary 32A35
- DOI: https://doi.org/10.1090/S0002-9939-09-10073-4
- MathSciNet review: 2550183