Commutator estimates from a viewpoint of regularity structures

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].

arXiv comment12 pages, submitted to the Proceedings of the RIMS Symposium "Stochastic Analysis on Large Scale Interacting Systems", November 2018, Kyoto, Japan

References in corpus (5)

• Renormalising SPDEs in regularity structures
• An analytic BPHZ theorem for regularity structures
• Global solutions to elliptic and parabolic ${\Phi }^4$ models in Euclidean space
• Algebraic renormalisation of regularity structures
• Paracontrolled calculus and regularity structures

Cited by in corpus (2)

• Paracontrolled calculus and regularity structures
• Iterated paraproducts and iterated commutator estimates in Besov spaces