赋广义Orlicz范数的Orlicz函数空间的k一致凸性

Uniform k-rotundity in Orlicz function spaces equipped with the generalized Orlicz norm

给出了以右导函数为凸函数的N-函数生成的赋广义Orlicz范数的Orlicz函数空间k一致凸的条件.

For the Orlicz function spaces generated by a N-function whose derivative on the right is convex and equipped with the generalized Orlicz norm,a sufficient and necessary condition is obtained to make them be uniform k-rotund.