Abstract
We give an example of a locally compact group G G for which, for every p p with 2 > p > ∞ 2 > p > \infty , there exists an operator of weak type ( p , p ) (p,p) commuting with the right translations on G G which is not of strong type ( p , p ) (p,p) . This gives a negative solution of E. M. Stein’s problem.
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