Bilinear forms on weighted Besov spaces
Carme Cascante, Joan F\`abrega

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.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory
