2025 / March Volume 20 No.1
$L^p$-Boundedness properties with exponential weights and a Parseval-type relation for the index ${ }_2F_1$-transform
| Published Date |
2025 / March
|
|---|---|
| Title | $L^p$-Boundedness properties with exponential weights and a Parseval-type relation for the index ${ }_2F_1$-transform |
| Author | |
| Keyword | |
| Download | |
| Pagination | 67-77 |
| Abstract | The aim of this paper is to study several new $L^p$-boundedness properties for the index ${ }_2F_1$-transform over the spaces $L^{p} \big(\mathbb{R}_{+}, e^{\gamma x} dx \big)$, $1\leq p < \infty$, $\gamma \in\mathbb{R}$, and $L^{\infty}\big(\mathbb{R}_{+}\big)$. We also obtain a Parseval-type relation over the space $L^{1} \big(\mathbb{R}_{+}, e^{\gamma x} dx \big)$. |
| DOI | |
| AMS Subject Classification |
44A15, 33C05
|
| Received |
2024-07-17
|