Idempotent multipliers on spaces of continuous functions with 𝑝-summable Fourier transforms

Abstract

Let G denote a compact abelian group, and A p {A^p} the space of functions continuous on G and having p-summable Fourier transforms. The idempotent multipliers from A p {A^p} to A q {A^q} are characterised for p , q ∈ [ 1 , 2 ] p,q \in [1,2] .