Iterated paraproducts and iterated commutator estimates in Besov spaces

TL;DR

This paper extends the theory of iterated paraproducts and commutator estimates to a broader class of Besov spaces, enhancing the mathematical tools available for analyzing functions with certain regularity properties.

Contribution

The authors generalize previous results to Besov spaces $B_{p,q}^eta$ with $p,q eq 2$, covering a wider range of function spaces.

Findings

Extended estimates to Besov spaces with $p,q eq 2$

Provided new bounds for iterated paraproducts in these spaces

Enhanced understanding of regularity in Besov spaces

Abstract

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