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arXiv · 2209.08395

Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality

Prasun Roychowdhury·Michael Ruzhansky·Durvudkhan Suragan
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Abstract

We establish a new improvement of the classical $L^p$-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.

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Prasun Roychowdhury, Michael Ruzhansky, Durvudkhan Suragan. 2022-09-17. Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality. https://doi.org/10.1017/s0013091523000780

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