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

Capone C;
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.
2005
Istituto Applicazioni del Calcolo ''Mauro Picone''
Grand Lebesgue spaces
small Leb
Banach function spaces
Orlicz spaces
fundamental function.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/31609
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