L^p integrability of trigonometric series with special varying coefficients  

作　　者：WEI Bao-rong 

机构地区：[1]Department of Mathematics, Hangzhou Normal University, Zhejiang 310036, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第4期402-410,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by National Natural Science Foundation of China (10901044)

摘　　要：Very recently, Yu, Le and Zhou introduced the so called △B1^＊ and △B2^＊ conditions, which are generalizations of the monotone condition. By applying these two new conditions, the author essentially generalizes the classical results of Chen on the necessary and sufficient conditions of the Lp integrability of trigonometric series. In fact, the present paper gives the first result on the necessary and sufficient conditions of the Lp integrability of trigonometric series, where coefficients may have different signs.Very recently, Yu, Le and Zhou introduced the so called △B1^＊ and △B2^＊ conditions, which are generalizations of the monotone condition. By applying these two new conditions, the author essentially generalizes the classical results of Chen on the necessary and sufficient conditions of the Lp integrability of trigonometric series. In fact, the present paper gives the first result on the necessary and sufficient conditions of the Lp integrability of trigonometric series, where coefficients may have different signs.

关 键 词：L^p integrability trigonometric series special varying coefficients 

分 类 号：O174.21[理学—数学] Q513[理学—基础数学]