E. Sawyer

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math.CA2026

Calderon-type commutators and chamber lifting in the Dunkl setting

Yongsheng Han, Ming-Yi Lee, Ji Li +2

Let $G$ be a finite reflection group, and let $T_{j}$ , $Δ_{κ}$ , and $d ω$ denote its Dunkl operators, Laplacian, and measure, respectively. Write $R_{j} = - T_{j} (- Δ_{κ})^{- 1/2}$ for th…

math.CA2026

A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions

Eric T. Sawyer

We compare the smooth Alpert testing condition for the paraboloid Fourier extension conjecture in <cite>RiSa3</cite> to the modulated testing condition for the Kakeya conjecture in…