Generalized orlicz spaces

As it is well known that Orlicz space is a generalization of Lebesgue space. The Orlicz space has been extensively studied by many researchers, for example generalized Orlicz spaces. In this study, we discuss the structure of generalized Orlicz spaces on ℝn. Principally, we construct the definition...

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Bibliographic Details
Main Authors: Fatimah, Siti, Dermawan, Rian, Hazmy, Sofihara Al, Masta, Al Azhary
Format: Conference Proceeding
Language:English
Subjects:
Orlicz space
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Summary:As it is well known that Orlicz space is a generalization of Lebesgue space. The Orlicz space has been extensively studied by many researchers, for example generalized Orlicz spaces. In this study, we discuss the structure of generalized Orlicz spaces on ℝn. Principally, we construct the definition of generalized Orlicz spaces and generalized weak Orlicz spaces using another way. First we present the definition of generalized Young function. Next, we also obtain generalized Orlicz spaces and generalized weak Orlicz spaces. To obtain our results, we use the generalized Young function. Based on our result, we have have new definition of generalized Orlicz spaces and their weak type.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0155343