关于Orlicz空间中K_x的几点注记

Some Notes on K_x of Orlicz Spaces

于赋Ｏｒｌｉｃｚ范数的Ｏｒｌｉｃｚ空间ＬＭ中单位球上每一点ｘ都对应Ｋｘ：１＝‖ｘ‖Ｍ＝（１＋ＰＭ（ｋｘｘ））． 本文给出 的表示式，接着证明了当且仅当Ｍ（ｕ）＝｜ｕ｜ａ（１＜ａ＜∞）时Ｋｘ为常数。

Abstract On Oriicz spaces LM endowed with Orlicz norm,for every x∈S(LM),there exists Kx>1 such that 1=‖x‖M=(1+pM(Kxx)).The expression of namely.Anather theorem in this paper shows that Kx=constant if and only if M(u)=|u|a for some 1<a<∞.