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, 2006, Volume 79, Issue 4,Pages <nobr>488

This article is cited in 3 papers

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

V. I. Bogachev^a, B. Goldys^b

^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b University of New South Wales

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.

UDC: 519.21

Received: 28.04.2005

DOI: 10.4213/mzm2720