Boundedness of a composition of dyadic paraproducts
Ana \v{C}olovi\'c
TL;DR
This paper establishes necessary and sufficient conditions for the boundedness of compositions of dyadic paraproducts, addressing a question posed by previous researchers and advancing understanding in harmonic analysis.
Contribution
It provides a complete characterization of when the composition of dyadic paraproducts is bounded, solving an open problem in the field.
Findings
Necessary and sufficient conditions for boundedness are derived.
The results resolve an open question in harmonic analysis.
The paper advances the theoretical understanding of dyadic paraproducts.
Abstract
We resolve the question of the boundedness of the composition of dyadic paraproducts, first posed by Pott, Reguera, Sawyer, and Wick in~\cite{PotCarSawWic}, by providing necessary and sufficient conditions for their boundedness.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Operator Algebra Research · Holomorphic and Operator Theory