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Let as usual T = R/2π Z be the circle, and H 1 the subspace of L 1(T) of all f such that 
for all integers n < 0. The norm
restricted to H 1, makes it a Banach space. By a multiplier of H 1 we mean a bounded linear operator m:H 1 → H 1 such that there is a sequence 
in C with
