A Littlewood-Paley description of modelled distributions

Published 1 Aug 2018 in math.PR and math.FA | (1808.00500v1)

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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