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赋广义Orlicz范数的Orlicz空间中k_x的两个特征
Two Characteristics of k_x in Orlicz Spaces Equipped with Generalized Orlicz Norm
【摘要】 由N-函数生成的赋广义Orlicz范数的Orlicz函数空间中每一点x都对应唯一kx:||x||M,p=1/(kx)[1+ρMp(kxx)]1/p.文中给出了inf{kx:||x||M,p=1}>1和{kx:a≤||x||M,p≤b}(b≥a>0)有界的充要条件.
【Abstract】 On the Orlicz function spaces generated by N - a function and equipped with the generalized Orlicz norm, there exists kx such that || x ||M,p=1/Kx[1 +ρMP(Kxx)]1/(?) for every x∈LM,p.Both sufficient and necessary conditions were presented to make the bounded of inf {kx:|| x ||M,p= 1}>1 and {kx:a≤|| x||M,p≤b}(b>a>0).
【基金】 吉林省教育厅科研基金项目(No:2010214)
- 【文献出处】 通化师范学院学报 ,Journal of Tonghua Normal University , 编辑部邮箱 ,2010年12期
- 【分类号】O177
- 【被引频次】7
- 【下载频次】39