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Hardy’s inequality and the Littlewood conjecture

Hardy’s inequality and the Littlewood conjecture

Let T be the circle group, Z the additive group of integers, C the complex numbers and Af(T) the customary convolution algebra of Borel measures on T; for ix G M(T) and n G Z = ( T e-ine dix{B).If /x G Af(T) and £(«) = 0 for all n …