Criteria for embedding of spaces constructed by the method of means with arbitrary quasi-concave functional parameters

We consider a generalization (X0,X1)p0,p1 of the method of means to arbitrary nondegenerate functional parameter. In this case non-trivial embedding (X0,X1)p0,p1 ⊂ (X0,X1)q0,q1 take place. We find necessary and sufficient condition for such embedding if 1 q0 p0 ∞ and 1 q1 p1 ∞ or 1 p0 q0 ∞ and 1 p1 q1 ∞. © 2005 Elsevier Inc. All rights reserved