Sharpness of some Hardy-type inequalities
Sharpness of some Hardy-type inequalities
Abstract The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure $dx/x$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>d</mml:mi> <mml:mi>x</mml:mi> <mml:mo>/</mml:mo> <mml:mi>x</mml:mi> </mml:math> . There are also derived some new …