On weighted critical imbeddings of Sobolev spaces

DOI10.1007/S00209-010-0684-7zbMath1226.46028OpenAlexW1973680688MaRDI QIDQ543339

Henryk Hudzik, Miroslav Krbec, David E. Edmunds

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0684-7

zbMATH Keywords

Sobolev spaceweight functioncritical imbeddingsexponential Orlicz space

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 for sums, series and integrals (26D15)

Related Items (6)

On some elliptic equation in the whole Euclidean space \(\mathbb{R}^2\) with nonlinearities having new exponential growth condition ⋮ A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents ⋮ On Trudinger-Moser type inequalities with logarithmic weights ⋮ A new Trudinger-Moser type inequality and an application to some elliptic equation with doubly exponential nonlinearity in the whole space \(\mathbb{R}^2 \) ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm ⋮ Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)

Cites Work

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• Extrapolation and optimal decompositions: with applications to analysis
• Embeddings of weighted Sobolev spaces in the borderline case
• On non-effective weights in Orlicz spaces
• Weighted Trudinger-type inequalities
• Sharp sobolev embeddings and related hardy inequalities: The critical case

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