Isomorphic classification of Lp,q-spaces, II

Abstract

This is a continuation of the papers [36] and [54], in which the isomorphic classification of Lp,q, for 1<p<∞, 1≤q<∞, p≠q, on resonant measure spaces, has been obtained. The aim of this paper is to give a complete isomorphic classification of Lp,q-spaces on general σ-finite measure spaces. Towards this end, several new subspaces of Lp,q(0,1) and Lp,q(0,∞) are identified and studied.