Search results for "Edge-of-the-wedge theorem"

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The edge-of-the-wedge theorem for systems of constant coefficient partial differential operators. I

1988

On demontre des resultats sur l'extendabilite holomorphe des fonctions holomorphes definies sur deux coins ou plus et pour lesquelles la somme des valeurs limites s'annulent

Constant coefficientsPartial differential equationGeneral MathematicsMathematical analysisHolomorphic functionPartial derivativeEdge-of-the-wedge theoremMathematicsMathematische Annalen
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Sobolev embeddings, extensions and measure density condition

2008

AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the Sobolev embedding theorem holds in Ω, in any of all the possible cases, then Ω satisfies the measure density condition. The second main result, Theorem 5, provides several characterizations of the Wm,p-extension domains for 1<p<∞. As a corollary we prove that the property of being a W1,p-extension domain, 1<p⩽∞, is invariant under bi-Lipschitz mappings, Theorem 8.

Discrete mathematicsExtension operator010102 general mathematicsEberlein–Šmulian theoremMeasure density condition01 natural sciencesSobolev embeddingSobolev inequality010101 applied mathematicsSobolev spaceCorollarySobolev spaces0101 mathematicsInvariant (mathematics)AnalysisEdge-of-the-wedge theoremSobolev spaces for planar domainsMathematicsTrace operatorJournal of Functional Analysis
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