Bellman Function and the $H^1-BMO$ Duality

Leonid Slavin; Alexander Volberg

paper

Bellman Function and the $H^{1} - B M O$ Duality

arXiv:0809.0322

Abstract

A Bellman function approach to Fefferman's $H^{1} - B M O$ 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 $B M O \subset (H^{1})^{*}$ is given in the dyadic case. The same Bellman function is then used to establish a multi-dimensional analog.

14 pages, 2 figures, final version

Bellman Function and the H1−BMO Duality

Abstract

Bellman Function and the $H^{1} - B M O$ Duality