Isomorphic classification of Lp,q-spaces, II

摘要

This is a continuation of the papers [36] and [54], in which the isomorphic classification of L-p,L-q, for 1 < p < infinity, 1 <= q < infinity, p not equal q, on resonant measure spaces, has been obtained. The aim of this paper is to give a complete isomorphic classification of L-p,L-q-spaces on general sigma-finite measure spaces. Towards this end, several new subspaces of L-p,L-q(0, 1) and L-p,L-q(0, infinity) are identified and studied. (C) 2021 Elsevier Inc. All rights reserved.