7 citations · 29 across the 17 of their papers we have counts for
4 papers · 1 filter
Theory of locally concave functions and its applications to sharp estimates of integral functionals
Dmitriy M. Stolyarov, Pavel B. Zatitskiy
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. Th…
Sharp estimates of integral functionals on classes of functions with small mean oscillation
Paata Ivanisvili, Nikolay N. Osipov, Dmitriy M. Stolyarov +2
We unify several Bellman function problems into one setting. For that purpose we define a class of functions that have, in a sense, small mean oscillation (this class depends on tw…
On scaling entropy sequence of dynamical system
P. B. Zatitskiy
We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 90's. We show that it is a metric invariant i…
Bellman VS Beurling: sharp estimates of uniform convexity for spaces
Paata Ivanisvili, Dmitriy M. Stolyarov, Pavel B. Zatitskiy
We obtain the classical Hanner inequalities by the Bellman function method. These inequalities give sharp estimates for the moduli of convexity of Lebesgue spaces. Easy ideas from…