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Ridged Domains, Embedding Theorems and Poincaré Inequalities

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Publication:2706836
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DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200101)221:1<41::AID-MANA41>3.0.CO;2-M" /><41::AID-MANA41>3.0.CO;2-M 10.1002/1522-2616(200101)221:1<41::AID-MANA41>3.0.CO;2-MzbMath1038.26011OpenAlexW1993845162MaRDI QIDQ2706836

D. J. Harris, W. D. Evans, Luboš Pick

Publication date: 2001

Full work available at URL: https://doi.org/10.1002/1522-2616(200101)221:1<41::aid-mana41>3.0.co;2-m


zbMATH Keywords

embedding theoremsPoincaré inequalitiesLorentz spacesmeasure of non-compactnessrearrangement-invariant Banach function spacesrooms and passagesgeneralized ridged domainstrumpet-shaped domains


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 (1)

On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle



Cites Work

  • Weighted Hardy and Poincaré Inequalities on Trees




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