The space of multipliers and convolutors of Orlicz spaces on a locally compact group
Let G be a locally compact group, let (φ,ψ) be a complementary pair of Young functions, and let and be the corresponding Orlicz spaces. Under some conditions on φ, we will show that for a Banach -submodule X of , the multiplier space is a dual Banach space with predual , where the closure is taken in the dual space of . We also prove that if is a Δ₂-regular N-function, then , the space of convolutors of , is identified with the dual of a Banach algebra of functions on G under pointwise...