Ompact embeddings of the spaces Apw,w (Rd)

Abstract

For 1 ? p ? ?, (Rd, denotes the space (Banach space) of all functions in Lw1 (Rd) a weighted L1-space (Beurling algebra) with Fourier transforms f in Lwp (Rd) which is equipped with the sum norm, where w and ? are Beurling weights on Rd.This space was defined in [5] and generalized in [6]. The present paper is a sequal to these works.In this(pap)r we are going to discuss compact embeddings between the spaces Aw,? (Rd).