Multidimensional Frank-Laptev-Weidl improvement of the hardy inequality
Roychowdhury P. Ruzhansky M. Suragan D.
11 February 2024Cambridge University Press
Proceedings of the Edinburgh Mathematical Society
2024#67Issue 1151 - 167 pp.
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.
Hardy inequality , sharp constant , symmetric rearrangements , uncertainty principle
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Mathematics Division, National Center for Theoretical Sciences, NTU, Taipei City, Taiwan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Mathematics Division
Department of Mathematics: Analysis
School of Mathematical Sciences
Department of Mathematics
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