Multidimensional Frank–Laptev–Weidl improvement of the hardy inequality

2024

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DOI 10.1017/s0013091523000780
Data confidence 85 high
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Abstract

Abstract We establish a new improvement of the classical Lp-Hardy inequality on the multidimensional Euclidean space in the supercritical case. Recently, in [14], there has been a new kind of development of the one-dimensional Hardy inequality. Using some radialisation techniques of functions and then exploiting symmetric decreasing rearrangement arguments on the real line, the new multidimensional version of the Hardy inequality is given. Some consequences are also discussed.