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On Inclusion Properties of Two Versions of Orlicz-Morrey Spaces

Authors :
Masta, Al A.
Gunawan, Hendra
Setya-Budhi, Wono
Publication Year :
2017

Abstract

There are two versions of Orlicz-Morrey spaces (on $\mathbb{R}^n$), 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 $\mathbb{R}^n$ is one of the keys to our results. Similar results for weak Orlicz-Morrey spaces of both versions are also obtained.<br />Comment: 10 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1703.03883
Document Type :
Working Paper