赋Orlicz范数的Musielak-Orlicz序列空间的凸系数

On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm

主要研究了赋予Orlicz范数的Musielak-Orlicz序列空间的凸系数。由于赋Orlicz范数的Musielak-Orlicz序列空间的复杂性和计算的繁琐性,至今尚未有人给出该空凸系数的计算公式。利用了一种特殊的方法给出赋Orlicz范数的Musielak-Orlicz的序列空间lΦo的精确计算公式,从而填补了赋Orlicz范数的Musielak-Orlicz序列空间凸系数的空白。

This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm.Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation,no one has yet given the calculation formula of the convex coefficient of this space.This paper uses a special method to give an accurate calculation formula for the Musielak-Orlicz sequence space lΦowith Orlicz norm,so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm.