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math.CA2026
Quantitative Uniqueness and Rough Damping on
Benjamin Jaye, Rahul Sethi
Motivated by a conjecture of Burq and Gérard, we investigate quantitative uniqueness principles for functions on whose Fourier spectra lie in fixed-width annuli. We o…
math.CA2026
The Usual Square Function on Weakly Flat Sets
Benjamin Jaye, Tobias Wang
We study the usual square function estimate associated with the Cauchy single-layer kernel in the plane, without assuming Ahlfors-David regularity. We prove that a finite Radon mea…