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arXiv · 1808.00500

A Littlewood-Paley description of modelled distributions

Jörg Martin·Nicolas Perkowski
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Abstract

We exhibit a fundamental link between Hairer's theory of regularity structures and the paracontrolled calculus of Gubinelli, Imkeller and Perkowski. By using paraproducts we provide a Littlewood-Paley description of the spaces of modelled distributions in regularity structures that is similar to the Besov description of classical H\"older spaces.

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Jörg Martin, Nicolas Perkowski. 2018-08-01. A Littlewood-Paley description of modelled distributions. https://arxiv.org/abs/1808.00500

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