L-CORRESPONDENCES: THE INCLUSION L^p(μ,X) □ L^q(υ, Y)

C. BRYAN DAWSON

《International Journal of Mathematics and Mathematical Sciences》 1996卷 (1996/12) Pp. 723-726

https://doi.org/10.1155/S0161171296000993

摘要

In order to study inclusions of the type L^p(μ,X) □ L^q(υ, 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.

關鍵字

L-correspondence ； inclusion ； Lebesgue-Bochner spaces ； measurable point mapping ； equimeasurability