某些光滑性质在序列空间l^p(E_i)中的提升  

The Lifting about Some Smooth Properties in Sequence Space l^p(E_i)

作　　者：阿拉腾苏布德[1] 苏雅拉图[2] Alatengsubude;Suyalatu(College of Science,Inner Mongolia Agricultural University,Hohhot 010018,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第5期392-394,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11561053)

摘　　要：讨论了光滑性质(Sk-Ⅰ)′与(Sk-Ⅲ))在序列空间l^p(E_i)中的提升问题,证明了(Sk-Ⅰ)′与(Sk-Ⅲ))性质可以提升到l^p(E_i),此外,讨论了光滑性质wLkS、wCLkS在l^p(E_i)中的提升问题,并把它们提升到了序列空间l^p(E_i).In this paper,the lifting problems about smooth property（Sk-Ⅰ）′and（Sk-Ⅲ）in the sequence space l^p（Ei）are discussed,and it is proved that smooth property（Sk-Ⅰ）′and（Sk-Ⅲ）can be lifted to sequence space l^p（Ei）.Besides,the lifting problems about some smooth properties such as wLkS and wCLkS in the sequence space l^p（Ei）are discussed,and they are lifted to sequence space l^p（Ei）as well.

关 键 词：序列空间 (Sk-Ⅰ)'性质 (Sk-Ⅲ)性质 wLkS wCLkS 

分 类 号：O177.2[理学—数学]