p$-power quasiconcavity of a rearrangement invariant function space

We define the p-power quasiconcave function and show relationships between p-power quasiconcave fundamental function and r.i. spaces like Lorentz space and Marcinkiewicz space. 2010 Mathematics Subject Classification. Primary 46B03; Secondary 46B04, 46B42. Key words and phrases. p-power concavity, u...

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Bibliographic Details
Published inAnnals of functional analysis Vol. 3; no. 1; pp. 19 - 31
Main Authors Lee, Chongsung, Cho, Kyugeun
Format Journal Article
LanguageEnglish
Published Springer 01.01.2012
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Summary:We define the p-power quasiconcave function and show relationships between p-power quasiconcave fundamental function and r.i. spaces like Lorentz space and Marcinkiewicz space. 2010 Mathematics Subject Classification. Primary 46B03; Secondary 46B04, 46B42. Key words and phrases. p-power concavity, upper p-estimate, rearrangement invariant space.
ISSN:2008-8752
2008-8752
DOI:10.15352/afa/1399900021