Some Aspects of L_(w_1)~r(G) ∩ L(p,q,w_2dμ)(G)

摘要

Let G be a locally compact Abelian group with Haar measure.The authors discuss some basic properties of L_(w_1)~r(G) ∩ L(p,q,w_2dμ)(G) spaces.Then the necessary conditions for compact embeddings of the spaces L_(w_1)~r(R^d)∩L(p,q,w_2dμ)(R^d) are showed.