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Series expansion for L^p Hardy inequalities

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 نشر من قبل Gerassimos Barbatis
 تاريخ النشر 2003
  مجال البحث
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We consider a general class of sharp $L^p$ Hardy inequalities in $R^N$ involving distance from a surface of general codimension $1leq kleq N$. We show that we can succesively improve them by adding to the right hand side a lower order term with optimal weight and best constant. This leads to an infinite series improvement of $L^p$ Hardy inequalities.

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