POROSITY OF CERTAIN SUBSETS OF LEBESGUE SPACES ON LOCALLY COMPACT GROUPS

DOI10.1017/S0004972712000949zbMath1274.43002OpenAlexW1976484589MaRDI QIDQ2847603

Saeid Maghsoudi, Ibrahim Akbarbaglu

Publication date: 11 September 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972712000949

zbMATH Keywords

convolutionLebesgue spacelocally compact group\(\sigma\)-c-lower porous set

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) Baire category, Baire spaces (54E52) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (5)

Spaceability of sets in \(L^{p} \times L^{q}\) and \(C_{0}\times C_{0}\) ⋮ A note on the convolution in Orlicz spaces ⋮ Topological size of some subsets in certain Calderón-Lozanovskiĭ spaces ⋮ Porous sets and lineability of continuous functions on locally compact groups ⋮ Porosity and the \(\ell^p\)-conjecture for semigroups

Cites Work

• Unnamed Item
• An answer to a question on the convolution of functions
• Porosity and the \(L^{p}\)-conjecture
• On \(\sigma\)-porous sets in abstract spaces
• Sharpness of Young's inequality for convolution.
• An elementary proof of part of a classical conjecture

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