Abstract
Let Φ be a Young function and w be a weight. The weighted Orlicz space is a natural generalization of the weighted Lebesgue space ( ) and a characterization of an inclusion between weighted Lebesgue spaces is well known. In this study, we will investigate the inclusions between weighted Orlicz spaces and with respect to Young functions , and weights , . Also, we give necessary and sufficient conditions for the equality of these two weighted Orlicz spaces under some conditions. Thereby, we obtain our result. MSC:46E30.
Highlights
1 Introduction and preliminaries Generally Orlicz spaces are a natural generalization of the classical Lebesgue spaces Lp, ≤ p ≤ ∞ and there are many studies of Orlicz spaces in the literature
In [ ], the inclusion between Lp spaces is investigated with respect to the measure space (X, μ) and in [ ] inclusions between Orlicz spaces are examined for a finite measure space and in general [, ]
We will investigate the inclusion between weighted Orlicz spaces Lw (X) with respect to a Young function and a weight w for a general measure space
Summary
Introduction and preliminaries GenerallyOrlicz spaces are a natural generalization of the classical Lebesgue spaces Lp, ≤ p ≤ ∞ and there are many studies of Orlicz spaces in the literature (for example [ , ]). We will investigate the inclusion between weighted Orlicz spaces Lw (X) with respect to a Young function and a weight w for a general measure space. We obtain the result that two weighted Orlicz spaces can be comparable with respect to Young functions for any measure space, the weighted Lp spaces are not comparable with respect to the numbers p.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
