Commuting dual Toeplitz operators with pluriharmonic symbols |
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| Authors: | Yufeng Lu |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, PR China |
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| Abstract: | In this paper we completely characterize commuting dual Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the unit ball. We show that for φ and ψ pluriharmonic, SφSψ=Sψφ on  only in the trivial case. Here the trivial case is φ or  holomorphic. |
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| Keywords: | Dual Toeplitz operator Pluriharmonic Holomorphic Bergman space |
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