A characterization of completely bounded multipliers of Fourier algebras

Paul Jolissaint

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Tame $L^{p}$ -multipliers

Kathryn Hare (1993)

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We call an $L^{p}$ -multiplier m tame if for each complex homomorphism χ acting on the space of $L^{p}$ multipliers there is some $γ_{0} \in Γ$ and |a| ≤ 1 such that $χ (γ m) = a m (γ_{0} γ)$ for all γ ∈ Γ. Examples of tame multipliers include tame measures and one-sided Riesz products. Tame multipliers show an interesting similarity to measures. Indeed we show that the only tame idempotent multipliers are measures. We obtain quantitative estimates on the size of $L^{p}$ -improving tame multipliers which are similar to those obtained for...

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