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k_x:||x||_(M,p)=1/(k_x)[1+ρ_M^p(k_xx)]1/p.文中给出了inf{k_x:||x||_(M,p)=1}>1和{k_x:a≤||x||_(M,p)≤b}(b≥a>0)有界的充要条件.
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 +ρM^P(Kxx)](1/p) for every x∈L(M,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}(ba0).
出处
《通化师范学院学报》
2010年第12期14-15,46,共3页
Journal of Tonghua Normal University
基金
吉林省教育厅科研基金项目(No:2010214)