Inclusion Properties of Orlicz and Weak Orlicz Spaces
Copyright policy ) Al Azhary Masta; Hendra Gunawan; Wono Setya Budhi;
Inclusion Properties of Orlicz and Weak Orlicz Spaces
In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on $\mathbb{R}^n$. We obtain some necessary and sufficient conditions for the inclusion property of these spaces. One of the keys is to compute the norm of the characteristic functions of the balls in $\mathbb{R}^n$.
10 pages
- Bandung Institute of Technology Indonesia
- Indonesia University of Education Indonesia
Science (General), Science, Q, Orlicz spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, Lebesgue spaces, Q1-390, 46E30, Young function, Inclusion property, FOS: Mathematics, weak Orlicz spaces
Science (General), Science, Q, Orlicz spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, Lebesgue spaces, Q1-390, 46E30, Young function, Inclusion property, FOS: Mathematics, weak Orlicz spaces
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 18
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