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A unified approach to improved L^p Hardy inequalities with best constants by Barbatis, G.; Filippas, S.; Tertikas, A. is a scholarly article available to read on EtoBox.

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We present a unified approach to improved $L^p$ Hardy inequalities in $\R^N$. We consider Hardy potentials that involve either the distance from a point, or the distance from the boundary, or even the intermediate case where distance is taken from a surface of codimension $1<k<N$. In our main result we add to the right hand side of the classical Hardy inequality, a weighted $L^p$ norm with optimal weight and best constant. We also prove non-homogeneous improved Hardy inequalities, where the right hand side involves weighted L^q norms, q \neq p.

Author

Barbatis, G.; Filippas, S.; Tertikas, A.

Published

2003

Language

EN