Commuting Toeplitz operators with harmonic symbols |
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| Authors: | Sheldon Axler Željko Čučković |
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| Affiliation: | (1) Department of Mathematics, Michigan State University, 48824 East Lansing, MI, USA;(2) Faculty of Technology, University of Zagreb, Pierottijeva 6, Zagreb, Yugoslavia |
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| Abstract: | This paper shows that on the Bergman space, two Toeplitz operators with harmonic symbols commute only in the obvious cases. The main tool is a characterization of harmonic functions by a conformally invariant mean value property.The first author was partially supported by the National Science Foundation. |
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