Embedding Theorems for Sobolev-Besicovitch spaces Wk,1 ap (IRs )

Abstract

We show embedding theorems of Sobolev type for Sobolev-Besicovitch spaces Wk,q ap of almost periodic functions with q ∈ [1, 2]. The fundamental tool for the proof of the main theorem is the Hausdorff-Young theorem for a.p. functions.

Keywords

• almost periodic functions
• bohr transform
• fourier series