Linear and bilinear $T(b)$ theorems \`a la Stein
\'Arp\'ad B\'enyi, Tadahiro Oh
TL;DR
This paper extends Stein's linear and bilinear $T(b)$ theorems by providing versions with quantitative estimates, enhancing the understanding of these theorems in harmonic analysis.
Contribution
It introduces new quantitative versions of the linear and bilinear $T(b)$ theorems, building upon Stein's classical $T(1)$ theorem.
Findings
Quantitative estimates for linear $T(b)$ theorems
Quantitative estimates for bilinear $T(b)$ theorems
Enhanced understanding of $T(b)$ theorems in harmonic analysis
Abstract
In this work, we state and prove versions of the linear and bilinear theorems involving quantitative estimates, analogous to the quantitative linear theorem due to Stein.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Advanced Mathematical Physics Problems