International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 723-726
doi:10.1155/S0161171296000993

L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y)

Abstract

In order to study inclusions of the type Lp(μ,X)⊂Lq(ν,Y), we introduce the notion of an L-correspondence. After proving some basic theorems, we give characterizations of some types of L-correspondences and offer a conjecture that is similar to an equimeasurability theorem.