Optimal discrete $p$-Hardy-Rellich-Birman inequalities
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914598813171712 |
|---|---|
| author | Štampach, František Waclawek, Jakub |
| author_facet | Štampach, František Waclawek, Jakub |
| contents | We present a theory for constructing optimal lower bounds for the discrete half-line $p$-Laplacian of higher order $\ell\in\mathbb{N}$ and general $p>1$. The abstract framework introduces higher-order monotonicity and asymptotic constraints on a parameter sequence that determines optimal weights. As a concrete application, we specialize the parameter sequence to deduce new optimal discrete $p$-Hardy ($\ell=1$), $p$-Rellich ($\ell=2$), and $p$-Birman ($\ell\geq 3$) inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25238 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimal discrete $p$-Hardy-Rellich-Birman inequalities Štampach, František Waclawek, Jakub Classical Analysis and ODEs Spectral Theory 26D15, 39A12, 47J05 We present a theory for constructing optimal lower bounds for the discrete half-line $p$-Laplacian of higher order $\ell\in\mathbb{N}$ and general $p>1$. The abstract framework introduces higher-order monotonicity and asymptotic constraints on a parameter sequence that determines optimal weights. As a concrete application, we specialize the parameter sequence to deduce new optimal discrete $p$-Hardy ($\ell=1$), $p$-Rellich ($\ell=2$), and $p$-Birman ($\ell\geq 3$) inequalities. |
| title | Optimal discrete $p$-Hardy-Rellich-Birman inequalities |
| topic | Classical Analysis and ODEs Spectral Theory 26D15, 39A12, 47J05 |
| url | https://arxiv.org/abs/2605.25238 |