标题:
Orlicz-Sobolev空间的端点与严格凸性The Extreme Points and Rotundity of Orlicz-Sobolev Spaces
作者:
曹法赟
关键字:
Olicz-Sobolev空间, 端点, 严格凸, 模范数Orlicz-Sobolev Spaces, Extreme Points, Rotund, Modular Norm
期刊名称:
《Pure Mathematics》, Vol.5 No.3, 2015-05-29
摘要:
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.