TY - JOUR
T1 - Multidimensional Frank-Laptev-Weidl improvement of the hardy inequality
AU - Roychowdhury, Prasun
AU - Ruzhansky, Michael
AU - Suragan, Durvudkhan
N1 - Publisher Copyright:
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.
PY - 2024/2/11
Y1 - 2024/2/11
N2 - 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.
AB - 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.
KW - Hardy inequality
KW - sharp constant
KW - symmetric rearrangements
KW - uncertainty principle
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U2 - 10.1017/S0013091523000780
DO - 10.1017/S0013091523000780
M3 - Article
AN - SCOPUS:85182360001
SN - 0013-0915
VL - 67
SP - 151
EP - 167
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
IS - 1
ER -