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Russian Mathematical Surveys, 1975, Volume 30, Issue 2, Pages 119–184
DOI: https://doi.org/10.1070/RM1975v030n02ABEH001408 (Mi rm3989) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Convex integral functionals and the theory of lifting

V. L. Levin
English version PDF (3232 kB) Citations (19) Russian version article
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DOI: https://doi.org/10.1070/RM1975v030n02ABEH001408
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.
Received: 10.06.1974
Bibliographic databases:
Document Type: Article
UDC: 513.88 + 519.55
MSC: 28A51, 28A50, 28A20, 28C05, 46A20, 46E40
Language: English
Original paper language: Russian
Citation: V. L. Levin, “Convex integral functionals and the theory of lifting”, Russian Math. Surveys, 30:2 (1975), 119–184
Citation in format AMSBIB
\Bibitem{Lev75}
\by V.~L.~Levin
\paper Convex integral functionals and the theory of lifting
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 2
\pages 119--184
\mathnet{http://mi.mathnet.ru//eng/rm3989}
\crossref{https://doi.org/10.1070/RM1975v030n02ABEH001408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399856}
\zmath{https://zbmath.org/?q=an:0332.46031}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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