数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1577-1589.doi: 10.1016/S0252-9602(16)30091-1

• 论文 • 上一篇    下一篇

MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM

巩万中, 张道祥   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China
  • 收稿日期:2015-06-25 修回日期:2016-05-05 出版日期:2016-12-25 发布日期:2016-12-25
  • 通讯作者: Wanzhong GONG,E-mail:gongwanzhong@shu.edu.cn E-mail:gongwanzhong@shu.edu.cn
  • 作者简介:Daoxiang ZHANG,E-mail:zdxiang1012@163.com
  • 基金资助:

    This work was supported by the National Science Foundation of China (11271248 and 11302002), the National Science Research Project of Anhui Educational Department (KJ2012Z127), and the PhD research startup foundation of Anhui Normal University.

MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM

Wanzhong GONG, Daoxiang ZHANG   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China
  • Received:2015-06-25 Revised:2016-05-05 Online:2016-12-25 Published:2016-12-25
  • Contact: Wanzhong GONG,E-mail:gongwanzhong@shu.edu.cn E-mail:gongwanzhong@shu.edu.cn
  • Supported by:

    This work was supported by the National Science Foundation of China (11271248 and 11302002), the National Science Research Project of Anhui Educational Department (KJ2012Z127), and the PhD research startup foundation of Anhui Normal University.

摘要:

In Orlicz-Lorentz sequence space λ ?,ω° with the Orlicz norm, uniform monotonicity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ ?,ω° are discussed.

关键词: Orlicz-Lorentz sequence space, Orlicz norm, point of upper (lower) local uniform monotonicity, uniform monotonicity, monotone coefficient

Abstract:

In Orlicz-Lorentz sequence space λ ?,ω° with the Orlicz norm, uniform monotonicity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ ?,ω° are discussed.

Key words: Orlicz-Lorentz sequence space, Orlicz norm, point of upper (lower) local uniform monotonicity, uniform monotonicity, monotone coefficient

中图分类号: 

  • 46B20