2 papers
math.AP2024
A note on the Taylor estimates of iterated paraproducts
Masato Hoshino
Bony's paraproduct is one of the main tools in the theory of paracontrolled calculus. The paraproduct is usually defined via Fourier analysis, so it is not a local operator. In the…
math.PR2024
A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions
Masato Hoshino, Ryoji Takano
We extend the semigroup approach used in [23,21] to provide alternative proofs of the reconstruction theorem and the multilevel Schauder estimate for singular modelled distribution…