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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.AP2023★ 2 cited
A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate
Masato Hoshino
The reconstruction theorem and the multilevel Schauder estimate have central roles in the analytic theory of regularity structures [17]. Inspired by [26], we provide elementary pro…