| 多重调和映射的同向两点Schwarz引理及应用 |
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| 引用本文： | 李俊,陈铭新,王建飞.多重调和映射的同向两点Schwarz引理及应用[J].华侨大学学报(自然科学版),2023,0(2):264-268. |
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| 作者姓名： | 李俊 陈铭新 王建飞 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 国家自然科学基金资助项目（12071161）；;福建省自然科学基金资助项目（2020J01073）； |
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| 摘 要： | 建立单位圆盘D到单位球BN上调和映射的同向两点Schwarz引理，给出高维单位球之间的多重调和映射的同向两点Schwarz引理，并将单位圆盘调和映射的Pavlovic的结果推广到高维多重调和映射.作为应用，得到单位球上多重调和函数的边界Schwarz引理.
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| 关 键 词： | 调和映射 多重调和映射 Schwarz引理 边界Schwarz引理 |
Same Direction Two-Point Schwarz Lemma for Pluriharmonic Mappings and Application |
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| LI Jun,CHEN Mingxin,WANG Jianfei.Same Direction Two-Point Schwarz Lemma for Pluriharmonic Mappings and Application[J].Journal of Huaqiao University(Natural Science),2023,0(2):264-268. |
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| Authors: | LI Jun CHEN Mingxin WANG Jianfei |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | Establish the same direction two-point Schwarz lemma for harmonic mappings from unit disk D to the unit ball BN, the same direction two-point Schwarz lemma for pluriharmonic mappings between high-dimensional unit balls is given, and Pavlovic’s result of harmonic mappings on the unit disk is extended to high-dimensional pluriharmonic mappings. As an application, the boundary Schwarz lemma of pluriharmonic functions on the unit ball is obtained. |
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| Keywords: | harmonic mappings pluriharmonic mappings Schwarz lemma boundary Schwarz lemma |
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