Pointwise Convergence of Trigonometric Series

Journal of the Australian Mathematical Society

Chang-Pao Chen¹ 

关键词: 42 A 20;    42 A 32;   

DOI  :  10.1017/S1446788700029591

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We establish two results in the pointwise convergence problem of a trigonometric seriesfor some nonnegative integer m. These results not only generalize Hardy's theorem, the Jordan test theorem and Fatou's theorem, but also complement the results on pointwise convergence of those Fourier series associated with known L1-convergence classes. A similar result is also established for the case that , where {ln} satisfies certain conditions.

【 授权许可】

Unknown