Bellman Function and the $H^1-BMO$ Duality
Classical Analysis and ODEs
2008-09-03 v1
Abstract
A Bellman function approach to Fefferman's duality theorem is presented. One Bellman-type argument is used to handle two different one-dimensional cases, dyadic and continuous. An explicit estimate for the constant of embedding is given in the dyadic case. The same Bellman function is then used to establish a multi-dimensional analog.
Keywords
Cite
@article{arxiv.0809.0322,
title = {Bellman Function and the $H^1-BMO$ Duality},
author = {Leonid Slavin and Alexander Volberg},
journal= {arXiv preprint arXiv:0809.0322},
year = {2008}
}
Comments
14 pages, 2 figures, final version