Multipliers from Sobolev space $H^\al_p$ into $H^{-\al}_p$
| dc.creator | Neiman-zade, M. I. | |
| dc.creator | Shkalikov, A. A. | |
| dc.date | 2003-01-13 | |
| dc.date.accessioned | 2026-07-07T04:54:24Z | |
| dc.date.available | 2026-07-07T04:54:24Z | |
| dc.description | A function $q(x)$ is said to be a multiplier from the Sobolev space $H^\al_p(R^n)$ into $H^{-\al}_p(R^n)$ if the operator $Lf(x)=q(x)f(x)$ is a bounded operator from the first space into the second one. Let $M^\al_p$ the the space of such multipliers. In this paper we give the description of the spaces $M^\al_p$ provided the condition $\al>min(n/p,n/p')$. In the case $\al\le min(n/p,n/p')$ we obtain some embedding theorems for Sobolev spaces with negative smoothness indices into $M^\al_p$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301121 | |
| dc.identifier | http://arxiv.org/abs/math/0301121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66241 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J10; 46E35 | |
| dc.title | Multipliers from Sobolev space $H^\al_p$ into $H^{-\al}_p$ | |
| dc.type | text |