Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (5): 1584-1592.doi: 10.1016/S0252-9602(14)60105-3

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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).

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

CLC Number: 

  • 46L52
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