正线性周期卷积算子在Lp(p≥1)中的饱和性等价定理 |
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引用本文: | 孔德丰.正线性周期卷积算子在Lp(p≥1)中的饱和性等价定理[J].西南民族学院学报(自然科学版),2009,35(3):418-422. |
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作者姓名: | 孔德丰 |
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作者单位: | 枣庄科技职业学院,山东滕州277500 |
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摘 要: | 利用笔者建立的不等式得到了正线性周期卷积算子在L2π^p中的饱和等价定理,这个定理在理论上推广了文献文1]2]中的结果,并且文3]4]中的结果就是这个等价定理的特例.
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关 键 词: | 正线性周期卷积算子 饱和阶 等价定理 |
The equivalent theorem of saturation in L2π^p space for positive linear convolution periodic operators |
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Institution: | KONG, De-feng (Zaozhuang Vocational College of Science &Technology, Tengzhou 277500, P. R. C.) |
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Abstract: | The equivalent theorem of saturation in L2π^p space for positive linear convolution periodic operators is obtained by the inequality found by the author. This equivalent theorem includes the results in referencesl]2],at the same time,the theorems in references3]4] are special examples of this equivalent theorem. |
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Keywords: | positive linear convolution periodic operator saturation order equivalent theorem |
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