Noncommutative Orlicz–Hardy spaces associated with growth functions

In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces associated with a growth function. Moreover, we prove Riesz and Szegö type factorization theorems and the contractivity of the conditional expectation...

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Veröffentlicht in:Journal of mathematical analysis and applications Jg. 420; H. 1; S. 824 - 834
Hauptverfasser: Abdurexit, Abdugheni, Bekjan, Turdebek N.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.12.2014
Schlagworte:
Growth function
Hölder type inequalities
Noncommutative Orlicz spaces
Noncommutative Orlicz–Hardy spaces
Szegö, Riesz type factorizations
Noncommutative Orlicz spaces
Szegö, Riesz type factorizations
Noncommutative Orlicz–Hardy spaces
Hölder type inequalities
Growth function
ISSN:0022-247X, 1096-0813
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Zusammenfassung:In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces associated with a growth function. Moreover, we prove Riesz and Szegö type factorization theorems and the contractivity of the conditional expectation on noncommutative Orlicz–Hardy spaces associated with a growth function.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.06.018