摘要
该文给出了正弦级数和余弦级数在系数满足NBV条件时属于Ba空间的充分必要条件,所得结论为Ba空间中的首个此类结果,同时也是对L_p空间中已有结论的本质性推广.
The present paper gives a sufficient and necessary condition for sine series and cosine series, with their coefficients satisfying NBV condition, belonging to Ba spaces. This is the first result on Ba spaces and can be regarded as an essential generalization of that on Lp spaces.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2008年第6期1038-1045,共8页
Acta Mathematica Scientia
基金
西南石油学院国家重点实验实开放项目(PLN0613)资助
关键词
三角级数
NBV条件
BA空间
充分必要条件
Trigonometric series
Monotonicity
Ba spaces
Suffcient and necessary condition
