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

被引：0
作者：
V. I. Bogachev
B. Goldys
机构：
[1] M. V. Lomonosov Moscow State University,
[2] University of New South Wales,undefined
来源：
Mathematical Notes | 2006年 / 79卷
关键词：
convex function; second derivative; differentiable measure; Gaussian measure; Borel measure; Radon measure; Skorokhod derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：454 / 467
页数：13
相关论文
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