On small Lebesgue spaces | Zendy

Claudia Capone | Zendy; Alberto Fıorenza | Zendy

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On small Lebesgue spaces

Author(s) -

Claudia Capone,

Alberto Fıorenza

Publication year - 2005

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2005/192538

Subject(s) - mathematics , lp space , lebesgue's number lemma , lebesgue integration , pure mathematics , norm (philosophy) , birnbaum–orlicz space , function space , lebesgue–stieltjes integration , standard probability space , interpolation space , riemann integral , functional analysis , banach space , operator theory , biochemistry , chemistry , gene , fourier integral operator , political science , law

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

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