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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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 420; no. 1; pp. 824 - 834
Main Authors: Abdurexit, Abdugheni, Bekjan, Turdebek N.
Format: Journal Article
Language:English
Published: Elsevier Inc 01.12.2014
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ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary: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