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Paper detail

Sharp L^p estimates on BMO

We construct the upper and lower Bellman functions for the $L^p$ (quasi)-norms of BMO functions. These appear as solutions to a series of Monge--Ampère boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.

preprint2011arXivOpen access
Leonid SlavinVasily Vasyunin
math.CA
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Leonid SlavinVasily Vasyunin

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