The Fourier Multipliers of p-Fourier Spaces on Compact Groups

On the vector Fourier multipliers for compact groups

“…What we consider here generalizes the case treated in [4] which corresponds to the particular case A = C. We denote by M(L 1 (G, A)) the set of all vector Fourier multipliers on L 1 (G, A). We introduce the following operation which we may need.…”

“…In [4], Atto et al investigated the Fourier multipliers for a kind of p-Fourier spaces introduced in [5]. They obtained important results related to the boundedness of such operators.…”