Musielak-Orlicz序列空间的一致Gateaux可微性

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助项目(10001010);黑龙江省教委基金资助项目

UGD Property of Musielak-Orlicz Sequence Spaces

Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China

摘要: 利用Musielak-Orlicz函数列的某些性质,给出了赋Luxemburg范数的Musielak-Orlicz序列空间是有一致Gateaux可微性的充要条件及赋Orlicz范数的Musielak-Orlicz序列空间是弱一致凸的判别准则.
- Musielak-Orlicz序列空间 /
- 一致Gateaux可微 /
- 弱一致凸
Abstract: By the properties of the Musielak-Orlicz funcitons. sequence, the necessary and sufficient condition for uniform Gateaux differential(UGD) property of Musielak-Orlicz sequence spacesequipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak-Orlicz sequence space with Orlicz nor mare given.
- Musielak-Orlicz sequence space /
- uniform Gateaux differe ntiability /
- weakly uniform rotundity

[1]	Smulian V L.Sur la derivabilite de la norme dans lescape de Banach[J].C R Acad Sci URBC(Doklady),N S,1940,27(3):643-646.
[2]	Kaminska A.Rotundity of Orlicz-Musielak sequence space[J].Bull Acad Polish Sci Math,1981,29(3/4):137-144.
[3]	WANG Ting-fu,SHI Zhong-rui.On the locally uniformly weak star rotundity of Orlicz space[J].Revista Math Complutense,1994,7(1):79-98.
[4]	Kaminske A.Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm[J].Journal of Functional Analysis,1983,50(3):285-305.
[5]	Hudzik Henryk,YE Yi-ning.Support functional and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm[J].Comment Math Univ Carolinae,1990,31(4):661-684.