A decomposition of the dual space of some Banach function spaces

DOI10.1155/2012/737534zbMath1244.46011OpenAlexW2033359674WikidataQ58908387 ScholiaQ58908387MaRDI QIDQ416346

Claudia Capone, Maria Rosaria Formica

Publication date: 10 May 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/737534

zbMATH Keywords

dual spaceBanach 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)

Related Items (9)

Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ o-O structure of some rearrangement invariant Banach function spaces ⋮ Boyd indices in generalized grand Lebesgue spaces and applications ⋮ Orlicz spaces with a \(o\)-\(O\) type structure ⋮ On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces ⋮ Grand quasi Lebesgue spaces ⋮ Duality and distance formulas in Banach function spaces

Cites Work

• On the integrability of the Jacobian under minimal hypotheses
• The dual of weak \(L^p\)
• The distance to \(L^{\infty }\) in some function spaces and applications
• Duality and reflexivity in grand Lebesgue spaces
• On small Lebesgue spaces
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