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

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

2008-09-01

arxiv.org/abs/0809.0322v1

Contemporary Math, 428, AMS, 2007

Mathematics

Classical Analysis and ODEs

14 pages, 2 figures, final version

Scientific paper

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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