吉林大学学报(理学版)2011,Vol.49Issue(5):809-813,5.
赋广义Orlicz范数的Orlicz函数空间的一致凸性
Uniform Rotundity in Orlicz Function Spaces Equipped with Generalized Orlicz Norm
摘要
Abstract
By means of geometries of Banach spaces and Orlicz spaces method, the characterizations overuniform rotundity of the Orlicz function spaces equipped with the generalized Orlicz norm was discussed. Forthe Orlicz function spaces generated by a N-function whose derivative on the right is convex and equipped withthe generalized Orlicz norm, both sufficient and necessary conditions were presented to make them be uniformrotund.关键词
广义Orlicz范数/Orlicz函数空间/一致凸Key words
generalized Orlicz norm/ Orlicz function space/ uniform rotund分类
数理科学引用本文复制引用
段丽芬,许晶,崔云安..赋广义Orlicz范数的Orlicz函数空间的一致凸性[J].吉林大学学报(理学版),2011,49(5):809-813,5.基金项目
波兰国家自然科学基金(批准号:201362236)和吉林省教育厅“十一五”科技项目(吉教科合字[2010]第214号). (批准号:201362236)