Orlicz空间的一组不等式

李婷婷, 苏雅拉图

数学学报 ›› 2014, Vol. 57 ›› Issue (2) : 295-300.

PDF(313 KB)
PDF(313 KB)
数学学报 ›› 2014, Vol. 57 ›› Issue (2) : 295-300. DOI: 10.12386/A2014sxxb0029
论文

Orlicz空间的一组不等式

    李婷婷, 苏雅拉图
作者信息 +

Some Inequalities in Orlicz Spaces

    Ting Ting LI, Yalatu SU
Author information +
文章历史 +

摘要

本文将Lp空间的特征不等式部分地推广到了赋Orlicz范数的Orlicz空间LM*中,运用Orlicz空间理论的方法,获得了Orlicz空间LM*的一组不等式.

Abstract

In this paper, the characteristic inequalities ofLpBanach space is extended to Orlicz spaces partially. Using the method of Orlicz spaces theory, we establish some inequalities in Orlicz spaces.

关键词

不等式 / 对偶映像 / Orlicz空间

Key words

inequalities / duality mapping / Orlicz spaces

引用本文

导出引用
李婷婷, 苏雅拉图. Orlicz空间的一组不等式. 数学学报, 2014, 57(2): 295-300 https://doi.org/10.12386/A2014sxxb0029
Ting Ting LI, Yalatu SU. Some Inequalities in Orlicz Spaces. Acta Mathematica Sinica, Chinese Series, 2014, 57(2): 295-300 https://doi.org/10.12386/A2014sxxb0029

参考文献

[1] Liu G. Z., Convex Analysis and Extreme Problems (in Chinese), Higher Education Press, Beijing, 1991: 183-185.
[2] WU C. X., Wang T. F., Orlicz Space and Its Application (in Chinese), Heilongjiang Province Science and Technology Press, Herbin, 1983: 73-161.
[3] Xu Z. B., The acteristic inequality ofLpspace and its application, Acta Mathematica Sinica, Chinese Series, 1989, 32(2): 209-218.
[4] Xu Z. B., Roach G. F., Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces, J. Math. Anal., 1991, 157: 189-210.

基金

国家自然科学基金资助项目(11061022);内蒙古自然科学基金(2012MS1022);内蒙古师范大学人才培养基金RCPY-2-2012-K-034资助
PDF(313 KB)

Accesses

Citation

Detail

段落导航
相关文章

/