This article is cited in 19 papers

Convex integral functionals and the theory of lifting

V. L. Levin


Abstract: This paper consists of three chapters, the first of which presents a survey of the theory of lifting, while the second and third are devoted to convex integral functionals on infinite-dimensional spaces of measurable vector-valued functions. Continuity properties of such functionals are studied, and a duality theory is presented, in the second chapter. In the third chapter we study the subdifferentials of convex integral functionals and their connection with liftings, derivation bases, and the disintegration of measures.

UDC: 513.88 + 519.55

MSC: 28A51, 28A50, 28A20, 28C05, 46A20, 46E40

Received: 10.06.1974

 English version: Russian Mathematical Surveys, 1975, 30:2, 119–184

Bibliographic databases:

• 
•