Commuting Toeplitz operators with pluriharmonic symbols
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Abstract:
By making use of $\mathcal M$-harmonic function theory, we characterize commuting Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the unit ball or on the Hardy space of the unit sphere in $n$-dimensional complex space.References
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Additional Information
- 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
- Email: zheng@math.vanderbilt.edu
- Received by editor(s): June 30, 1995
- Received by editor(s) in revised form: July 15, 1996
- Additional Notes: Supported in part by the National Science Foundation.
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 1595-1618
- MSC (1991): Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9947-98-02051-0
- MathSciNet review: 1443898