12 citations · 41 across the 31 of their papers we have counts for
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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…
Bilinear embedding theorems for differential operators in
Dmitriy M. Stolyarov
We prove bilinear inequalities for differential operators in . Such type inequalities turned out to be useful for anisotropic embedding theorems for overdetermined sy…
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…
Dimension of gradient measures
Dmitriy M. Stolyarov, Michal Wojciechowski
We prove that if pure derivatives with respect to all coordinates of a function on are signed measures, then their lower Hausdorff dimension is at least . The d…