%0 Journal Article
%T Theory of locally concave functions and its applications to sharp estimates of integral functionals
%A Dmitriy M. Stolyarov
%A Pavel B. Zatitskiy
%J Mathematics
%D 2014
%I arXiv
%X We prove a duality theorem the computation of certain Bellman functions is usually based on. As a byproduct, we obtain sharp results about the norms of monotonic rearrangements. The main novelty of our approach is a special class of martingales and an extremal problem on this class, which is dual to the minimization problem for locally concave functions.
%U http://arxiv.org/abs/1412.5350v1