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

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

Division of Mathematics and Computer Science, Emporia State University, Emporia, KS 66801, USA

Received 4 October 1994; Revised 6 March 1995

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.