正线性周期卷积算子在Lp_2π^p空间中的饱和等价定理

The Equivalent Theorem of Saturation for Positive Linear Convolution Periodic Operators in Space

利用Holder不等式和Minkovski不等式得到一个不等式,利用得到的不等式得到了正线性周期卷积算子在L2p!中的饱和等价定理,推广了谢庭藩和陈文忠的一些结果。

In this paper, an inequality is founded applying Holder＇ s inequality and Minkovski＇ s inequality. The equivalent theorem of saturation in space for positive linear convolution periodic operators is obtained with this inequality. This theorem improves the corresponding results ofXIE Ting-fan＇ s and CHEN Wen-zhong＇ s.