Embedding theorems of difference weighted spaces. I

Abstract

In the work we research embeddings of difference weighted spaces w²_р(v). Necessary and sufficient conditions of embedding of these spaces into the space of summable sequences l_q(u), 1≤p≤q<∞ are obtained. The work consists of two parts. The first part is devoted to obtain a description of conditions of embedding w²_р(v) l_q(u).