Bilinear forms on weighted Besov spaces

TL;DR

This paper characterizes the norms of bilinear forms on weighted Besov spaces using pointwise multiplier norms linked to Carleson measures, advancing understanding of operator behavior in these function spaces.

Contribution

It provides a new method to compute bilinear form norms on weighted Besov spaces via Carleson measure-based multiplier norms, offering a novel analytical tool.

Findings

Explicit norm formulas for bilinear forms on weighted Besov spaces

Connection established between bilinear form norms and Carleson measure multipliers

Enhanced understanding of operator behavior in weighted Besov spaces

Abstract

We compute the norm of some bilinear forms on products of weighted Besov spaces in terms of the norm of their symbol in a space of pointwise multipliers defined in terms of Carleson measures.