数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (6): 1675-1684.doi: 10.1016/S0252-9602(13)60114-9

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SZEGÖ|TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES

邵晶晶|韩亚洲   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • 收稿日期:2012-05-03 修回日期:2013-06-01 出版日期:2013-11-20 发布日期:2013-11-20
  • 基金资助:

    Partially supported by NSFC (11071204) and XJUBSCX-2012002.

SZEGÖ|TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES

 SHAO Jing-Jing, HAN Ya-Zhou   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • Received:2012-05-03 Revised:2013-06-01 Online:2013-11-20 Published:2013-11-20
  • Supported by:

    Partially supported by NSFC (11071204) and XJUBSCX-2012002.

摘要:

We introduce noncommutative Hardy-Lorentz spaces and give the Szeg¨o and inner-outer type factorizations of these spaces.

关键词: subdiagonal algebras, noncommutative Hardy-Lorentz spaces, Szeg¨o factor-ization, outer operators

Abstract:

We introduce noncommutative Hardy-Lorentz spaces and give the Szeg¨o and inner-outer type factorizations of these spaces.

Key words: subdiagonal algebras, noncommutative Hardy-Lorentz spaces, Szeg¨o factor-ization, outer operators

中图分类号: 

  • 47A30