Commutator estimates from a viewpoint of regularity structures
arXiv:1903.00623
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].
12 pages, submitted to the Proceedings of the RIMS Symposium "Stochastic Analysis on Large Scale Interacting Systems", November 2018, Kyoto, Japan