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• W1815061804 abstract "In this paper we develop the method of nding sharp estimates by using a Bellman function. In such a form the method appears in the proofs of the classical John{Nirenberg inequality and L p estimations of BMO functions. In the present paper we elaborate a method of solving the boundary value problem for the homogeneous Monge{Amp ere equation in a parabolic strip for suciently smooth boundary conditions. In such a way, we have obtained an algorithm for constructing an exact Bellman function for a large class of integral functionals on the BMO space." @default.
• W1815061804 created "2016-06-24" @default.
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• W1815061804 date "2015-09-15" @default.
• W1815061804 modified "2023-10-01" @default.
• W1815061804 title "Bellman function for extremal problems in BMO" @default.
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• W1815061804 doi "https://doi.org/10.1090/tran/6460" @default.
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