Young不等式在L^p空间中的应用  

The Applications Of Young Inequality

作　　者：邢家省[1] 王树泽[2] 

机构地区：[1]北京航空航天大学数学系,数学,信息与行为教育部重点实验室,北京100083 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2007年第3期19-22,共4页Journal of Liaocheng University:Natural Science Edition

基　　金：北京市级精品课程建设项目基金资助

摘　　要：给出Young不等式的一些证明方法及Young逆不等式的几个证明方法.给出了它们在证明Lp空间中的相关不等式时的应用,直接利用Young逆不等式简化了Hlder逆不等式的证明.The main content in this paper is the proof and expansion of Young inequality. Young inequality, Holder inequality and Minkowski inequality are all very important. They all use widely in many analysis mathematics and they make an important role in promoting modern mathematics. In this paper, we will be detailed to introduce these inequalities and discuss their effect in different fields.

关 键 词：YOUNG不等式 Young逆不等式 HOLDER不等式 MINKOWSKI不等式 

分 类 号：O177.2[理学—数学]