Integral transforms with H-function kernels on $\LLL_{ν,r}$-Spaces
| dc.creator | Glaeske, Hans-Jürgen | |
| dc.creator | Kilbas, Anatoly A. | |
| dc.creator | Saigo, Megumi | |
| dc.creator | Shlapakov, Sergei A. | |
| dc.date | 1998-05-03 | |
| dc.date.accessioned | 2026-07-07T05:24:53Z | |
| dc.date.available | 2026-07-07T05:24:53Z | |
| dc.description | Integral transforms $$(\mbox{\boldmath$H$}f)(x)=\int^\infty_0H^{m,n}_{\thinspace p,q} \left[xt\left|\begin{array}{c}(a_i,α_i)_{1,p}\\[1mm](b_j,β_j)_{1,q} \end{array}\right.\right]f(t)dt$$ involving Fox's $H$-functions as kernels are studied in the spaces $\Ls_{ν,r}$ of functions $f$ such that $$\int^\infty_0|t^νf(t)|^r\frac{dt}t<\infty\quad(1\ \eqls\ r<\infty, \ ν\in\Rs).$$ Mapping properties such as the boundedness, the representation and the range of the transforms \boldmath$H$ are given. | |
| dc.identifier | https://arxiv.org/abs/math/9805144 | |
| dc.identifier | http://arxiv.org/abs/math/9805144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76983 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Integral transforms with H-function kernels on $\LLL_{ν,r}$-Spaces | |
| dc.type | text |