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Hardy Type Inequalities for $Delta_lambda$-Laplacians

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 نشر من قبل Alessia Elisabetta Kogoj
 تاريخ النشر 2014
  مجال البحث
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We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $Delta_lambda$-Laplacians and find explicit values for the constants involved. Our results generalize previous inequalities obtained for Grushin type operators $$ Delta_{x}+ |x|^{2alpha}Delta_{y},qquad (x,y)inmathbb{R}^{N_1}timesmathbb{R}^{N_2}, alphageq 0, $$ which were proved to be sharp.



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