Open Access
2015 Noncommutative Orlicz modular spaces associated with growth functions
Abdugheni Abdurexit, Turdebek N. Bekjan
Banach J. Math. Anal. 9(4): 115-125 (2015). DOI: 10.15352/bjma/09-4-7

Abstract

We study the noncommutative Orlicz modular spaces associated with growth functions. Some basic properties of such spaces, such as completeness and dominated convergence theorem, are present. Moreover, Young inequalities and Clarkson--McCarthy inequalities on these spaces proved.

Citation

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Abdugheni Abdurexit. Turdebek N. Bekjan. "Noncommutative Orlicz modular spaces associated with growth functions." Banach J. Math. Anal. 9 (4) 115 - 125, 2015. https://doi.org/10.15352/bjma/09-4-7

Information

Published: 2015
First available in Project Euclid: 17 April 2015

zbMATH: 1322.46039
MathSciNet: MR3336886
Digital Object Identifier: 10.15352/bjma/09-4-7

Subjects:
Primary: 46L52
Secondary: 46A80 , 46L51

Keywords: Clarkson--McCarthy inequalities , growth function , modular space , noncommutative Orlicz spaces , Young inequality

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 4 • 2015
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