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math.CA2026
Strip Decoupling Inequalities for the Paraboloid in
Jacob Glidewell
Large-cap or large-ensemble decoupling inequalities were initially studied by Demeter. These are intimately connected to the reverse square-function conjecture and restriction conj…
math.CA2026
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in
Jacob Glidewell
We use the high-low method and wavepacket pruning to prove new small-cap decoupling estimates for the moment curve in . As an application, we verify a conjecture of D…
math.CA2024
The Ross-Darboux-Stieltjes Integral
David Cruz-Uribe, Jacob Glidewell
Motivated by the limitations of the traditional definitions of the Riemann-Stieltjes and Darboux-Stieltjes integrals, we introduce a generalized Darboux-Stieltjes integral that is…