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math.CA2014
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…
math.CA2014★ 2 cited
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…