On the Lp-conjecture for locally compact groups |
| |
| Authors: | F. Abtahi R. Nasr-Isfahani A. Rejali |
| |
| Affiliation: | (1) Department of Mathematics, University of Isfahan, Isfahan, Iran;(2) Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran |
| |
| Abstract: | Let G be a locally compact group. For 1 < p < ∞, it is well-known that f * g exists and belongs to Lp(G) for all f, g  Lp (G) if and only if G is compact. Here, for 2 < p < ∞, we show that f * g exists for all f, g  Lp(G) if and only if G is compact. We also show that this result does not remain true for 1 < p ≤ 2. Received: 23 April 2006 |
| |
| Keywords: | Primary: 43A15 Secondary: 43A20 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
