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- W2963962105 abstract "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." @default.
- W2963962105 created "2019-07-30" @default.
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- W2963962105 date "2003-02-26" @default.
- W2963962105 modified "2023-10-17" @default.
- W2963962105 title "A unified approach to improved L^p Hardy inequalities with best constants" @default.
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- W2963962105 doi "https://doi.org/10.48550/arxiv.math/0302326" @default.
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