Search results for "internal chord-arc domain"

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Weighted estimates for diffeomorphic extensions of homeomorphisms

2019

Let $\Omega \subset \mbr^2$ be an internal chord-arc domain and $\varphi : \mbs^1 \rightarrow \partial \Omega$ be a homeomorphism. Then there is a diffeomorphic extension $h : \mbd \rightarrow \Omega$ of $\varphi .$ We study the relationship between weighted integrability of the derivatives of $h$ and double integrals of $\varphi$ and of $\varphi^{-1} .$

Pure mathematicsMathematics::Functional AnalysisMathematics - Complex VariablesdiffeomorphismGeneral MathematicsMultiple integralHigh Energy Physics::Phenomenologyinternal chord-arc domainPoisson extensionExtension (predicate logic)OmegafunktioteoriaHomeomorphism (graph theory)Domain (ring theory)FOS: MathematicsDiffeomorphismComplex Variables (math.CV)Mathematics
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