| Invariant Mean—Value Property and M—Harmonicity in the Unit Ball of R^n |
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| 作者姓名： | CongWenLIU JiHuaiSHI |
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| 作者单位： | [1]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026 [2]SchoolofMathematicalSciences,PekingUniversity,Beijing100871 |
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| 摘 要： | In 1993,Ahern,Flores and Rudin showed that,if f is integrable over the unit ball BC^n of C^n and satisfies∫BC^nfoφdv=f（φ（0)) for every φ∈Aut(BC^n),then f is M-harmonic if and only if n≤11.The present paper is about an analogous question in the context of the unit ball Bn of R^n as well as in the weighted setting.
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| 关 键 词： | 拉普拉斯－贝尔特拉米算子 M－调和 不变均值性 单位球 |
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