Abstract
We define as a distribution the product of a function (or distribution) h in some Hardy space \(\mathcal{H}^p\) with a function b in the dual space of \(\mathcal{H}^p\). Moreover, we prove that the product b × h may be written as the sum of an integrable function with a distribution that belongs to some Hardy–Orlicz space, or to the same Hardy space \(\mathcal{H}^p\), depending on the values of p.
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