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arXiv · 0809.0322

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

Leonid Slavin·Alexander Volberg
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Abstract

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

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Leonid Slavin, Alexander Volberg. 2008-09-01. Bellman Function and the $H^1-BMO$ Duality. https://arxiv.org/abs/0809.0322

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