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Refined geometric L^p Hardy inequalities

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 نشر من قبل Gerassimos Barbatis
 تاريخ النشر 2003
  مجال البحث
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For a bounded convex domain Omega in R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Omega, the volume of $Omega$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.



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