乔蕾,邓冠铁.半空间中一类调和函数的例外集[J].数学年刊A辑,2012,33(6):671~678
半空间中一类调和函数的例外集
Exceptional Sets for a Class of Harmonic Functions in a Half Space
  
DOI:
中文关键词:  Whitney方体, 增长估计, 例外集, 半空间
英文关键词:Whitney cube, Growth estimate, Exceptional set, Half space
基金项目:国家自然科学基金(No.11071020),国家自然科学数学天元基金(No.11226093),高等学校博士点专项科研基金(No.20100003110004),河南省教育厅科学技术指导计划(No.12B110001)和2012年河南财经政法大学校级重大研究课题
Author NameAffiliationE-mail
QIAO Lei Department ofMathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, china qiaocqu@163.com 
DENG Guantie School of Mathematical Science, Beijing Normal University, Laboratory of Mathematics and Complex Systems, MOE, Beijing 100875, china denggt@bnu.edu.cn 
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中文摘要:
      利用Whitney方体的相关性质, 给出了一类调和函数在半空间中无穷远点处的增长估计, 且刻画了其 例外集的几何性质. 本文推广了张艳慧和邓冠铁在半空间中的相关结果.
英文摘要:
      By using related properties of Whitney cubes, the authors give growth estimates for a class of harmonic functions at infinity in a half space, and characterize geometrical properties of exceptional sets. The related results of Y. H. Zhang and G. T. Deng in a half space are then extended.
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