We consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces.
On small Lebesgue spaces / C., Capone; Fiorenza, Alberto. - In: JOURNAL OF FUNCTION SPACES AND APPLICATIONS. - ISSN 0972-6802. - STAMPA. - 3:1(2005), pp. 73-89.
On small Lebesgue spaces
FIORENZA, ALBERTO
2005
Abstract
We consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces.File in questo prodotto:
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