Boundedness of the twisted paraproduct
Vjekoslav Kova\v{c}
TL;DR
This paper establishes L^p bounds for a specific two-dimensional bilinear paraproduct operator, addressing a previously open question in harmonic analysis.
Contribution
It provides the first proof of L^p estimates for the twisted paraproduct, advancing understanding of bilinear operators in harmonic analysis.
Findings
Proved L^p boundedness of the twisted paraproduct.
Answered an open question by Demeter and Thiele.
Contributed to the theory of bilinear harmonic analysis.
Abstract
We prove L^p estimates for a two-dimensional bilinear operator of paraproduct type. This result answers a question posed by Demeter and Thiele in [3].
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