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半空间中一类调和函数的例外集
  • ISSN号：1000-8314
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：2012
  • 页码：671-678
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]河南财经政法大学数学与信息科学系,郑州450002, [2]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,北京100875
  • 相关基金：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.128110001）和2012年河南财经政法大学校级重大研究课题资助的项目.
  • 相关项目：锥中广义调和函数的积分表示
作者： 乔蕾|邓冠铁|
关键词： Whitney方体, 增长估计, 例外集, 半空间, Whitney cube, Growth estimate, Exceptional set, Half space
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.

同期刊论文项目
复合材料中的椭圆和抛物方程
期刊论文 43
锥中广义调和函数的积分表示
期刊论文 9
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264