Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910294346825728 |
|---|---|
| author | Roychowdhury, Prasun Ruzhansky, Michael Suragan, Durvudkhan |
| author_facet | Roychowdhury, Prasun Ruzhansky, Michael Suragan, Durvudkhan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08395 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality Roychowdhury, Prasun Ruzhansky, Michael Suragan, Durvudkhan Functional Analysis 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. |
| title | Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2209.08395 |