16 citations · 65 across the 61 of their papers we have counts for
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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…
Hessian of Bellman functions and uniqueness of Brascamp--Lieb inequality
P. Ivanisvili, A. Volberg
Under some assumptions on the vectors and the function we find the sharp estimate of the expression $\int_{\m…
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…
Inequality for Burkholder's martingale transform
Paata Ivanisvili
We find the sharp constant of the following inequality where is the transform of a…
Bellman function approach to the sharp constants in uniform convexity
Paata Ivanisvili
We illustrate Bellman function technique in finding the modulus of uniform convexity of spaces.