Compact Embeddings of the Spaces Apw,w (Rd)

Abstract

For 1 ≤ p ≤ ∞, (Rd, denotes the space (Banach space) of all functions in L<inf>w</inf>1 (Rd) a weighted L1-space (Beurling algebra) with Fourier transforms f in L<inf>w</inf>p (Rd) which is equipped with the sum norm, where w and ω 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,ω (Rd).