On small Lebesgue spaces

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.

Bibliographic Details
Main Authors: Claudia Capone, Alberto Fiorenza
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/192538