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Sharp L^p estimates on BMO by Slavin, Leonid; Vasyunin, Vasily is a scholarly article available to read on EtoBox.

What is Sharp L^p estimates on BMO about?

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--Amp\`ere 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.

Author

Slavin, Leonid; Vasyunin, Vasily

Published

2011

Language

EN