论文摘要
讨论向量值函数Riemann可积与连续性之间的关系,以及空间的Lebesgue性质(即取值于该空间的所有Riemann可积向量值函数必几乎处处连续).通过反例进一步说明lp(1 <p <∞)及l∞均不具有Lebesgue性质.通过细化改进现有文献中的证明思路,得到l~1具有Lebesgue性质的另一证明.
论文目录
文章来源
类型: 期刊论文
作者: 杨智纯,魏舟
关键词: 性质,积分,向量值函数,空间,连续
来源: 云南大学学报(自然科学版) 2019年05期
年度: 2019
分类: 基础科学
专业: 数学
单位: 云南大学数学与统计学院
基金: 国家自然科学基金天元项目(11826206),云南省科技厅面上项目(2018FB004)
分类号: O172.2
页码: 876-883
总页数: 8
文件大小: 728K
下载量: 47
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