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   <dc:title>Weighted bilinear Hardy inequalities.</dc:title>
   <dc:creator>Aguilar-Cañestro, María Isabel</dc:creator>
   <dc:creator>Ortega-Salvador, Pedro</dc:creator>
   <dc:creator>Ramírez Torreblanca, Consuelo</dc:creator>
   <dc:subject>Desigualdades (Matemáticas)</dc:subject>
   <dc:subject>Análisis matemático</dc:subject>
   <dcterms:abstract>We characterize the weights w, w1, w2 such that the weighted bilinear Hardy inequality&#xd;
  b&#xd;
a&#xd;
  x&#xd;
a&#xd;
f&#xd;
 q  x&#xd;
a&#xd;
g&#xd;
 q&#xd;
w(x)dx&#xd;
 1q&#xd;
  C&#xd;
  b&#xd;
a&#xd;
f p1w1&#xd;
  1&#xd;
p1&#xd;
  b&#xd;
a&#xd;
gp2 w2&#xd;
  1&#xd;
p2&#xd;
holds for all nonnegative functions f and g, with a positive constant C independent of f&#xd;
and g, for all possible values of q, p1 and p2 with 1 &lt; q, p1, p2 &lt;∞. We also characterize&#xd;
the good weights for the weighted bilinear n-dimensional Hardy inequality to hold.</dcterms:abstract>
   <dcterms:dateAccepted>2024-05-24T06:25:29Z</dcterms:dateAccepted>
   <dcterms:available>2024-05-24T06:25:29Z</dcterms:available>
   <dcterms:created>2024-05-24T06:25:29Z</dcterms:created>
   <dcterms:issued>2012</dcterms:issued>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/10630/31379</dc:identifier>
   <dc:identifier>10.1016/j.jmaa.2011.08.078</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:rights>http://creativecommons.org/licenses/by-nc-nd/4.0/</dc:rights>
   <dc:rights>open access</dc:rights>
   <dc:rights>Attribution-NonCommercial-NoDerivatives 4.0 Internacional</dc:rights>
   <dc:publisher>Elsevier</dc:publisher>
</qdc:qualifieddc>
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