On interpolation between L1 + L∞ and L1 ∩ L

The couple { L 1 + L ∞, L 1 ∩ L ∞} is not a Calderón couple and the K-orbit of any element is described as a sum of two Marcinkiewicz spaces but the interpolation orbit is a sum of a Marcinkiewicz space and an Orlicz space.

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Bibliographic Details
Published inJournal of functional analysis Vol. 107; no. 2; pp. 342 - 351
Main Authors Maligranda, L., Ovchinnikov, V.I.
Format Journal Article
LanguageEnglish
Published Orlando, FL Elsevier Inc 01.08.1992
San Diego, CA Academic Press
Brugge
Subjects
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
Intersection
Interpolation
Orbit
Banach space
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Summary:The couple { L 1 + L ∞, L 1 ∩ L ∞} is not a Calderón couple and the K-orbit of any element is described as a sum of two Marcinkiewicz spaces but the interpolation orbit is a sum of a Marcinkiewicz space and an Orlicz space.
ISSN:0022-1236
1096-0783
DOI:10.1016/0022-1236(92)90111-U