Orlicz空间中与模函数有关的若干几何性质

摘要

A new modular functional is introduced in general Lebesgue measure space. Moreover, the Orlicz space is generated. The relationship between the Luxemburg norm and the modular functional in the above space is discussed, and criteria for extreme points of the closed unit ball are also obtained.%在一般的Lebesgue可测空间中引入了一个新的模函数,从而生成一个新的Orlicz空间.在该空间中,讨论了Luxemburg范数与模函数之间的关系,并得到了Orlicz空间的单位球面上元素是其闭单位球端点的判别准则.