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On Hardy's Inequality for Hermite Expansions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Plewa, Paweł |
| Copyright Year | 2019 |
| Abstract | Sharp multi-dimensional Hardy's inequality for the Laguerre functions of Hermite type is proved for the type parameter $\al\in[-1/2,\infty)^d$. As a consequence we obtain the corresponding result for the generalized Hermite expansions. In particular, it validate that the known version of Hardy's inequality for the Hermite functions is sharp. |
| Starting Page | 301 |
| Ending Page | 315 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.11650/tjm/190601 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1901.05663v1.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1901.05663 |
| Alternate Webpage(s) | https://doi.org/10.11650/tjm%2F190601 |
| Volume Number | 24 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
