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中文摘要：
研究BA延拓和调和映照的关系．首先，给出了BA延拓为双曲调和的一个必要条件，特别地，若边界对应h局部是C^2和奇的，则其BA延拓不是双曲调和的．其次，证明了若h是分段C^2的则其BA延拓不是π调和的，除非h（x）=ax＋b，x∈R．
英文摘要：
This paper studies the connection between BA-extensions and harmonic mappings. Firstly, the necessary condition for a BA-extension to be hyperbolic harmonic is obtained. Particularly, if a boundary correspondence h is locally in C^2 and odd, then the BA-extension of h is not hyperbolic harmonic. Secondly, if h is in C^2 piecewisely, then the BA-extension of h is not π-harmonic unless h（x） = ax ＋ b, x ∈ R.
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