Geodesic
Convolution of Lp Functions on Non-Unimodular Groups
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 265-266

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we prove the followingTheorem. If G is a nonunimodular locally compact group and 1<p<∞, then there is an open set, U, in G and there are functions, f simultaneously in every Lr(G), p≤r ≤∞, and g simultaneously in every Lq(G), 1 ≤q≤∞, such that the convolution, f * g(y), is not defined for any y in U. 
Milnes, Paul. Convolution of Lp Functions on Non-Unimodular Groups. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 265-266. doi: 10.4153/CMB-1971-049-8
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[1] 1. Rickert, N. W., Convolution of Lp functions, Proc. Amer. Math. Soc. 18 (1967), 762-763. Google Scholar

[2] 2. Zelazko, W., A note on Lp-algebras, Colloq. Math. 10 (1963), 53-56. Google Scholar

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