Espaces de fonctions à moyenne fractionnaire intégrable sur les groupes localement compacts
| dc.creator | Feuto, Justin | |
| dc.creator | Fofana, Ibrahim | |
| dc.creator | Koua, Konin | |
| dc.date | 2008-10-07 | |
| dc.date.accessioned | 2026-07-07T10:08:08Z | |
| dc.date.available | 2026-07-07T10:08:08Z | |
| dc.description | Let $G$ be a locally compact group which is $σ$-compact, endowed with a left Haar measure $λ.$ Denote by $e$ the unit element of $G$, and by $B$ an open relatively compact and symmetric neighbourhood of $e$. For every $(p,q) $ belonging to $[ 1 ; +\infty ] ^{2}$, we give an equivalent and a priori more manageable definition of the Banach space $L_{(q,p)}^π(G),$ defined by R. C. Busby and H. A. Smith in \cite% {1}. In the case $G$ is a group of homogeneous type, we look at the subspaces $(L^{q},L^{p}) ^α(G)$ of the space $% L_{(q,p)}^π(G)$. Theses subspaces are extensions to non abelian groups of the spaces of functions with integrable mean, defined by I. Fofana in \cite{2}. Finally we show that $L^{α,+\infty}(G)$ is a complex subspace of $(L^{q},L^{p}) ^α(G)$. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0810.1206 | |
| dc.identifier | http://arxiv.org/abs/0810.1206 | |
| dc.identifier | Afrika Matematika serie 3, volume 15, (2003) 73-91 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170887 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.title | Espaces de fonctions à moyenne fractionnaire intégrable sur les groupes localement compacts | |
| dc.type | text |