研究由N -函数生成赋广义Orlicz范数Orlicz函数空间的点态性质,利用Banach空间几何理论和技巧,得到了该空间中UR点和WUR点的判别准则,并且获得Orlicz函数空间局部一致凸和弱局部一致凸的条件。
Some pointwise properties of Orlicz function spaces which are generated by a N-function and equipped with the generalized Orlicz norm are studied.By using geometrical theories and techniques of Banach spaces,criteria of UR points and WUR points in these spaces are presented.Sufficient and nec-essary conditions are obtained to make the Orlicz function spaces be locally uniform rotund and weakly lo-cally uniform rotund .