Multidimensional Frank–Laptev–Weidl improvement of the hardy inequality
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...
| Published in: | Proceedings of the Edinburgh Mathematical Society |
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| Main Authors: | , , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
Cambridge University Press (CUP)
2024
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1017/s0013091523000780 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0013091523000780 |
| Summary: | 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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