Jaume de Dios Pont

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math.CA2026

Almost-Orthogonality in Lp Spaces: A Case Study with Grok

Ziang Chen, Jaume de Dios Pont, Paata Ivanisvili +2

Carbery proposed the following sharpened form of triangle inequality for many functions: for any $p \geq 2$ and any finite sequence $(f_{j})_{j} \subset L^{p}$ we have \[ \Big\|\sum_j f_j\B…

math.CA2023

Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency

Jaume de Dios Pont, Helge Jørgen Samuelsen

In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounde…