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Matematicheskie Zametki, 2006, Volume 79, Issue 4, Pages 488–504
DOI: https://doi.org/10.4213/mzm2720 (Mi mzm2720) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure

V. I. Bogacheva, B. Goldysb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of New South Wales
Full-text PDF (290 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2720
Abstract: We consider convex functions on infinite-dimensional spaces equipped with measures. Our main results give some estimates of the first and second derivatives of a convex function, where second derivatives are considered from two different points of view: as point functions and as measures.
Received: 28.04.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 4, Pages 454–467
DOI: https://doi.org/10.1007/s11006-006-0052-4
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. I. Bogachev, B. Goldys, “Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure”, Mat. Zametki, 79:4 (2006), 488–504; Math. Notes, 79:4 (2006), 454–467
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    1. Giovanni Wences, Joaquín Delgado, “Second order derivative of a functional associated to an optimal transport map”, Monatsh Math, 201:3 (2023), 943  crossref
    2. Cobzas S. Miculescu R. Nicolae A., “Lipschitz Functions Preface”: Cobzas, S Miculescu, R Nicolae, A, Lipschitz Functions, Lect. Notes Math., Lecture Notes in Mathematics, 2241, Springer International Publishing Ag, 2019, V+  mathscinet  isi
    3. Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae, Lecture Notes in Mathematics, 2241, Lipschitz Functions, 2019, 143  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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