On the structural properties of the weight space \(L_{p(x),\omega}\) for \(0

DOI10.1134/S0001434614030171zbMath1328.46023MaRDI QIDQ2342000

Rovshan A. Bandaliyev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

embedding theoremquasi-Banach spaceLebesgue measurable functionquasinormed spaceLebesgue space with variable exponent of summabilityweight space \(L_{p(x),\omega}\)

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) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16)

Related Items (2)

On Hölder's inequality in Lebesgue spaces with variable order of summability ⋮ On Hardy inequality in variable Lebesgue spaces with mixed norm

Cites Work

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• Orlicz spaces and modular spaces
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• Uniform boundedness in \(L^ p\;(p=p(x))\) of some families of convolution operators
• On an inequality in Lebesgue space with mixed norm and with variable summability exponent
• On modular spaces
• A Note on the Spaces L p for 0 < p 1
• Über konjugierte Exponentenfolgen

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