On Inclusion Properties of Two Versions of Orlicz–Morrey Spaces

There are two versions of Orlicz–Morrey spaces (on R n ), defined by Nakai in 2004 and by Sawano, Sugano, and Tanaka in 2012. In this paper, we discuss the inclusion properties of these two spaces and compare the results. Computing the norms of the characteristic functions of balls in R n is one of...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-12, Vol.14 (6), p.1-12, Article 228
Main Authors: Masta, Al Azhary, Gunawan, Hendra, Setya-Budhi, Wono
Format: Article
Language:English
Subjects:
Characteristic functions
Mathematics
Mathematics and Statistics
Norms
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Summary:There are two versions of Orlicz–Morrey spaces (on R n ), defined by Nakai in 2004 and by Sawano, Sugano, and Tanaka in 2012. In this paper, we discuss the inclusion properties of these two spaces and compare the results. Computing the norms of the characteristic functions of balls in R n is one of the keys to our results. Similar results for weak Orlicz–Morrey spaces of both versions are also obtained.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-1030-7