M. Hoshino

activity

20162020

most citedAsymptotics of PDE in random environment by paracontrolled calculus

5 citations · 8 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.AP2020

Iterated paraproducts and iterated commutator estimates in Besov spaces

Masato Hoshino

We extend the results in [6] to Besov spaces $B_{p, q}^{α}$ with $p, q \in [1, \infty]$ and $0 < α < 1$ .

math.AP2019

Paracontrolled calculus and regularity structures (II)

I. Bailleul, M. Hoshino

We prove a general equivalence statement between the notions of models and modelled distributions over a regularity structure, and paracontrolled systems indexed by the regularity…

math.AP2019★ 3 cited

Commutator estimates from a viewpoint of regularity structures

Masato Hoshino

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 an…

math.AP2018

Paracontrolled calculus and regularity structures

I. Bailleul, M. Hoshino

We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…