Optimality of constants in power-weighted Birman–Hardy–Rellich-Type inequalities with logarithmic refinements
The principal aim of this paper is to establish the optimality ({\it i.e.}, sharpness) of the constants $A(m, \alpha)$ and $B(m, \alpha)$, $m \in \bbN$, $\alpha \in \bbR$, of the form \begin{align*} &A(m, \alpha) = 4^{-m} \prod_{j=1}^{m} (2j - 1 -\alpha)^2, \\&B(m, \alpha) = 4^{-m} \sum_{k=1...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2022-04-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2965 |