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Journal of Function Spaces and Applications
Volume 2012, Article ID 737534, 10 pages
Research Article

A Decomposition of the Dual Space of Some Banach Function Spaces

1Istituto per le Applicazioni del Calcolo “Mauro Picone”, CNR, sez. Napoli, Via P. Castellino 111, 80131 Napoli, Italy
2Dipartimento di Statistica e Matematica per la Ricerca Economica, Università degli Studi di Napoli “Parthenope”, Via Medina 40, 80133 Napoli, Italy

Received 7 April 2010; Accepted 8 June 2010

Academic Editor: Carlo Sbordone

Copyright © 2012 Claudia Capone and Maria Rosaria Formica. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space E X P 𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿 𝑝 , ∞ , and the Grand Lebesgue Space 𝐿 𝑝 ) , πœƒ .