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Positive harmonic functions of finite order in a Denjoy type domain |
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| Authors: | Hiroaki Aikawa |
| Institution: | Department of Mathematics, Shimane University, Matsue 690-8504, Japan |
| Abstract: | We introduce a Denjoy type domain and prove that the dimension of the cone of positive harmonic functions of finite order in the domain with vanishing boundary values is one or two, whenever the boundary is included in a certain set. |
| Keywords: | Denjoy type domain harmonic function finite order |
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