A question of Toeplitz operators on the harmonic Bergman space |
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| Authors: | Xuanhao Ding |
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| Institution: | College of Mathematics and Statistics, Chong Qing Technology and Business University, Chong Qing 400067, PR China |
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| Abstract: | Choe and Lee B.R. Choe, Y.J. Lee, Commuting Toeplitz operators on the harmonic Bergman space, Michigan Math. J. 46 (1999) 163-174] put the question: If an analytic Toeplitz operator and a co-analytic Toeplitz operator on the harmonic Bergman space commute, then is one of their symbols constant? If one of their symbols is bounded, then we will show that the answer is yes. |
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| Keywords: | Harmonic Bergman space Toeplitz operators Commutator |
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