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Weighted estimates for diffeomorphic extensions of homeomorphisms

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 نشر من قبل Haiqing Xu
 تاريخ النشر 2019
  مجال البحث
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 تأليف Haiqing Xu




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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 $varphi^{-1} .$

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