The modular interpolation inequality in Sobolev spaces with variable exponent attaining the value 1

DOI10.7153/MIA-14-43zbMath1236.46030OpenAlexW2326198760MaRDI QIDQ5200226

Flavia Giannetti

Publication date: 1 August 2011

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-14-43

zbMATH Keywords

modular inequalitiesvariable exponent Lebesgue spacevariable exponent Sobolev spaceinterpolation inequalities

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Modular inequalities for the maximal operator in variable Lebesgue spaces ⋮ Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks

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