Necessary condition for measures which are (L^{q},L^{p}) multipliers
Necessary condition for measures which are (L^{q},L^{p}) multipliers
Let G be a locally compact group and ρ the left Haar measure on G. Given a non-negative Radon measure μ, we establish a necessary condition on the pairs q,p for which μ is a multiplier from L q G,ρ to L p G,ρ. Applied to ℝ n , our …