Fully measurable grand Lebesgue spaces

DOI10.1016/j.jmaa.2014.08.052zbMath1333.46025OpenAlexW2090550831MaRDI QIDQ465168

Alberto Fiorenza, Giuseppina Anatriello

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.052

zbMATH Keywords

Hardy's inequalitygrand Lebesgue spacesmeasurable exponentmaximal theoremrearrangement-invariant Banach function spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (21)

Hilbert inequality on grand function spaces ⋮ Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables ⋮ Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ Fully measurable small Lebesgue spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Integral operators on fully measurable weighted grand Lebesgue spaces ⋮ Trace inequalities for fractional integrals in mixed norm grand Lebesgue spaces ⋮ Identification of fully measurable grand Lebesgue spaces ⋮ Hardy-type integral inequalities for quasi-monotone functions ⋮ Weighted grand Lebesgue space with a mixed norm and integral operators ⋮ On the duality of grand Bochner-Lebesgue spaces ⋮ Connection between weighted tail, Orlicz, Grand Lorentz and Grand Lebesgue norms ⋮ Unnamed Item ⋮ Grand Morrey spaces and grand Hardy-Morrey spaces on Euclidean space ⋮ On grand Sobolev spaces and pointwise description of Banach function spaces ⋮ Boundedness of integral operators in generalized weighted grand Lebesgue spaces with non-doubling measures ⋮ A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents ⋮ Duality of fully measurable grand Lebesgue space ⋮ On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces ⋮ Grand quasi Lebesgue spaces ⋮ Fractional integrals with measure in grand Lebesgue and Morrey spaces

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