[HTML][HTML] A Littlewood-Paley description of modelled distributions
J Martin, N Perkowski - Journal of Functional Analysis, 2020 - Elsevier
Journal of Functional Analysis, 2020•Elsevier
We exhibit a fundamental link between Hairer's theory of regularity structures [11] and the
paracontrolled calculus of [9]. 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 Hölder spaces.
paracontrolled calculus of [9]. 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 Hölder spaces.
Abstract
We exhibit a fundamental link between Hairer's theory of regularity structures [11] and the paracontrolled calculus of [9]. 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 Hölder spaces.
Elsevier
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