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On the product of functions in H1 and BMO
Aline Bonami, Tadeusz Iwaniec, Peter
Jones, Michel Zinsmeister
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The space BMO
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The Hardy space H1
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Fefferman-Stein BMO is the dual of H1
But this duality is not like Lp-Lq
i.e. bh need not be integrable if b is in BMO and
h is in H1
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Two (equivalent) ways to define the duality
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What can be said about this distribution?
The answer involves the notion of Orlicz space
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This theorem has a converse in the case of the
disc, in the holomorphic setting
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Idea of proofs
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Proof of the theorem about holomorphic Hardy
spaces
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