
doi: 10.1155/2005/192538
handle: 11588/144033 , 20.500.14243/31609
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.
Small Lebesgue spaces, Small Lebesgue spaces; Banach Function spaces; duality; Grand Lebesgue spaces; fundamental function, fundamental function, small Lebesgue spaces, Orlicz spaces, grand Lebesgue spaces, Grand Lebesgue spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Banach function spaces, Duality and reflexivity in normed linear and Banach spaces, QA1-939, duality, Banach Function spaces, fundamental function., small Leb, Mathematics
Small Lebesgue spaces, Small Lebesgue spaces; Banach Function spaces; duality; Grand Lebesgue spaces; fundamental function, fundamental function, small Lebesgue spaces, Orlicz spaces, grand Lebesgue spaces, Grand Lebesgue spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Banach function spaces, Duality and reflexivity in normed linear and Banach spaces, QA1-939, duality, Banach Function spaces, fundamental function., small Leb, Mathematics
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