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arXiv · 2105.07818

Generic versions of a result in the theory of Hardy spaces

Vassili Nestoridis·Efstratios Thirios
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Abstract

For 0<p<1 and f a function in the Hardy space of order p its primitive belongs to the Hardy space q=p/1-p. We show that generically the primitive does not belong, even not locally, in any Hardy space smaller than the Hardy space of order q.

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Vassili Nestoridis, Efstratios Thirios. 2021-05-17. Generic versions of a result in the theory of Hardy spaces. https://arxiv.org/abs/2105.07818

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