数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1584-1592.doi: 10.1016/S0252-9602(14)60105-3

• 论文 • 上一篇    下一篇

NONCOMMUTATIVE ORLICZ-HARDY SPACES

阿布都艾尼?阿不都热西提|吐尔德别克*   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • 出版日期:2014-09-20 发布日期:2014-09-20
  • 通讯作者: 吐尔德别克,bek@xju.edu.cn E-mail:abdugheni.a@gmail.com; bek@xju.edu.cn
  • 基金资助:

    This research was partly supported by NSFC(11071204).

NONCOMMUTATIVE ORLICZ-HARDY SPACES

 Abdugheni ABDUREXIT, Turdebek N. BEKJAN*   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • Online:2014-09-20 Published:2014-09-20
  • Contact: Turdebek N.BEKJAN,bek@xju.edu.cn E-mail:abdugheni.a@gmail.com; bek@xju.edu.cn
  • Supported by:

    This research was partly supported by NSFC(11071204).

摘要:

Let (Φ, Ψ) be a pair of complementary N-functions and HΦ(A) and H Ψ(A) be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg¨o and innerouter type factorization theorems of Hp(A) to this case.

关键词: noncommutative Orlicz spaces, noncommutative Orlicz-Hardy spaces, Riesz type factorization, Szeg¨o type factorization, outer operators

Abstract:

Let (Φ, Ψ) be a pair of complementary N-functions and HΦ(A) and H Ψ(A) be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg¨o and innerouter type factorization theorems of Hp(A) to this case.

Key words: noncommutative Orlicz spaces, noncommutative Orlicz-Hardy spaces, Riesz type factorization, Szeg¨o type factorization, outer operators

中图分类号: 

  • 46L52