A Decomposition of the Dual Space of Some Banach Function Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Italy English Publisher:Hindawi LimitedJournal:Journal of Function Spaces and Applications, volume 2,012, pages 1-10 (issn: 0972-6802, eissn: 1758-4965,

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Authors: Capone C.; FORMICA, MARIA ROSARIA;

doi: 10.1155/2012/737534

handle: 11367/18885

A Decomposition of the Dual Space of Some Banach Function Spaces

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Abstract

We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space of the exponential integrable functions, the Marcinkiewicz space , and the Grand Lebesgue Space .

Country

Italy

Related Organizations

National Research Council
Italy
National Institute for Nuclear Physics
Italy
Parthenope University of Naples
Italy
Istituto per le Applicazioni del Calcolo Mauro Picone
Italy

Keywords

dual space, QA1-939, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Banach function spaces

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