Orlicz-Sobolev空间的端点与严格凸性

The Extreme Points and Rotundity of Orlicz-Sobolev Spaces

本文在Orlicz-Sobolev空间上给出了一种模范数,给出了由严格凸N函数生成Orlicz-Sobolev空间严格凸的充要条件。

In this paper we give a modular norm for Orlicz-Sobolev spaces, and obtain a necessary and suffi-cient condition for the Orlicz-Sobolev spaces which is formed by strictly convex N function to be rotund.