| 上半空间中一类次调和函数的增长估计 |
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| 引用本文： | 乔蕾,邓冠铁. 上半空间中一类次调和函数的增长估计[J]. 数学进展, 2011, 0(6) |
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| 作者姓名： | 乔蕾 邓冠铁 |
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| 作者单位： | 河南财经政法大学数学与信息科学系;北京师范大学数学科学学院数学与复杂系统教育部重点实验室; |
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| 基金项目： | 国家自然科学基金(No11071020); 教育部博士点资金资助项目(No20100003110004) |
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| 摘 要： | 本文证明了n-维(n≥2)Euclidean空间的上半空间中Poisson积分在无穷远点处的增长性质.同时将这个性质推广到次调和函数中去,其概括了解析函数和调和函数的增长性质.
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| 关 键 词： | Poisson积分 次调和函数 容度 增长估计 |
Growth Estimates for a Class of Subharmonic Functions in the Upper-half Space |
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| QIAO Lei,DENG Guantie. Growth Estimates for a Class of Subharmonic Functions in the Upper-half Space[J]. Advances in Mathematics(China), 2011, 0(6) |
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| Authors: | QIAO Lei DENG Guantie |
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| Affiliation: | QIAO Lei~1,DENG Guantie~2 (1.Department of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou,Henan,450002,P.R.China,2.School of Mathematical Science,Beijing Normal University,Laboratory of Mathematics and Complex Systems,MOE,Beijing,100875,P.R.China) |
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| Abstract: | The aim of this paper is to prove the growth estimate at infinity for Poisson's integral in the upper-half space of the n-dimensional(n>2) Euclidean space.Meanwhile,we extend it to subharmonic functions,which generalizes the growth properties of analytic functions and harmonic functions. |
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| Keywords: | Poisson's integral subharmonic function capacity growth estimate |
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