Commutator estimates from a viewpoint of regularity structures

2019/03/02 by Masato Hoshino, Hoshino, Masato
Mathematics · #35S50 #60H15 #Advanced Banach Space Theory #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1903.00623

openalex publication_date 2019/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

First we introduce the Bailleul-Hoshino's result [4], which links the theory of regularity structures and the paracontrolled calculus. As an application of their result, we give another algebraic proof of the multicomponent commutator estimate [3], which is a generalized version of the Gubinelli-Imkeller-Perkowski's commutator estimate [11, Lemma 2.4].

Citations

• An analytic BPHZ theorem for regularity structures
• Paracontrolled calculus and regularity structures
• Algebraic renormalisation of regularity structures

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