%0 Journal Article %T On small Lebesgue spaces %A Claudia Capone %A Alberto Fiorenza %J Journal of Function Spaces and Applications %D 2005 %I Hindawi Publishing Corporation %R 10.1155/2005/192538 %X We consider a generalized version of the small Lebesgue spaces, introduced in [5] 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. %U http://www.hindawi.com/journals/jfsa/2005/192538/abs/