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VOL. 87 | 2021 Iterated paraproducts and iterated commutator estimates in Besov spaces
Masato Hoshino

Editor(s) Yuzuru Inahama, Hirofumi Osada, Tomoyuki Shirai

Abstract

In the previous study [6], the author provided an algebraic proof of the multicomponent commutator estimate in Besov spaces $C^{\alpha}=B_{\infty,\infty}^{\alpha}$ with $0 < \alpha < 1$. In this paper, we extend that result to general Besov spaces $B_{p,q}^{\alpha}$ with $p, q \in [1,\infty]$ and $0 < \alpha < 1$.

Information

Published: 1 January 2021
First available in Project Euclid: 20 January 2022

Digital Object Identifier: 10.2969/aspm/08710239

Subjects:
Primary: 35S50 , 60H15

Keywords: Besov space , commutator estimate , Paracontrolled calculus , paraproduct

Rights: Copyright © 2021 Mathematical Society of Japan

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