English

A Littlewood-Paley description of modelled distributions

Probability 2018-08-03 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1808.00500,
  title  = {A Littlewood-Paley description of modelled distributions},
  author = {Jörg Martin and Nicolas Perkowski},
  journal= {arXiv preprint arXiv:1808.00500},
  year   = {2018}
}

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25 pages