L1-convergence of Fourier series

Journal of the Australian Mathematical Society

Chang-Pao Chen¹ 

关键词: 42 A 20;    42 A 32;   

DOI  :  10.1017/S144678870003384X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

For an integrable function f on T, we introduce a modified partial sumand establish its L1-convergence property. The relation between the sum and L1-convergence classes is also established. As a corollary, a new L1-convergence class is obtained. It is shown that this class covers all known L1-convergence classes.

【 授权许可】

Unknown