# Paraproduct in Besov--Morrey spaces

## TL;DR

This paper extends the theory of paraproducts to Besov--Morrey spaces, which are important in analyzing highly singular partial differential equations, providing a self-contained mathematical framework.

## Contribution

It introduces and develops the theory of paraproducts specifically for Besov--Morrey spaces, filling a gap in the mathematical analysis of singular PDEs.

## Key findings

- Established paraproduct bounds in Besov--Morrey spaces
- Provided a self-contained framework for these spaces
- Facilitated analysis of highly singular PDEs

## Abstract

Recently it turned out that the paraproduct plays the key role in some highly singular partial differential equations. In this note the counterparts for Besov--Morrey spaces are obtained. This note is organized in a self-contained manner.