关于Sine级数导级数的L^1收敛性

On the L^1-Convergence of Derivative Series of Sine Series

主要研究Sine级数导级数的L^1收敛性问题,文中引入了一些集类,并进一步讨论了这些集类之间的关系,得到了Sine级数导级数收敛的一些充要条件。

The L1-convergence of derivative series of Sine series is studied. Some classes are in- troduced and their relations are discussed. Some necessary and sufficient conditions of the L1-convergence of derivative series of Sine series are also obtained.