具有复O－正则拟单调系数的Fourier级数L^1－收敛  

L￣1-convergence of Fourier series with complex O-regularly varying quasimonotone coefficients

作　　者：褚志仁[1] 

机构地区：[1]汕头大学数学系

出　　处：《汕头大学学报（自然科学版）》1995年第1期35-41,66,共8页Journal of Shantou University：Natural Science Edition

摘　　要：本文把文［１］的一个具有复拟单调系数的Ｆｏｕｒｉｅｒ级数Ｌ１－收敛的充要条件推广到具有复Ｏ－正则拟单调系数的Ｆｏｕｒｉｅｒ级数上，所得的结果推广了文［１］和［５］的主要结论．In this article, the necessary and sufficient condition for L1 -convergence of Fourier series with complex quasimonotone coefficient presented in paper [1] by T. F.Xie is generalized to include Fourier series with complex O-regularly varying quasimonotone coefficients, thus expanding the main conclusions deduced in paper [1] and [5].

关 键 词：复拟单调数列 O正则序列 傅里叶级数 L^1收敛 

分 类 号：O174.5[理学—数学]