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Sharp L^p estimates on BMO | | Leonid Slavin
; Vasily Vasyunin
; | | Date: |
8 Oct 2011 | | Abstract: | 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. | | Source: | arXiv, 1110.1771 | | Services: | Forum | Review | PDF | Favorites | |
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