Tainara Borges

activity

20202026

collaborators

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math.CA2025

Restriction and Kakeya maximal estimates in $R^{4}$

Tainara Borges, Tiklung Chan, Mingfeng Chen +3

By combining the planebrush argument of Katz and Zahl \cite{katz21} with the decoupling-incidence method of Wang and Wu \cite{WangWu2024}, we derive new bounds for the Fourier rest…

math.CA2025

Nonempty interior of pinned distance and tree sets

Tainara Borges, Benjamin Foster, Yumeng Ou +1

For a compact set $E \subset R^{d}$ , $d \geq 2$ , consider the pinned distance set $Δ^{y} (E) = {∣ x - y ∣ : x \in E}$ . Peres and Schlag showed that if the Hausdorff dimens…

Restriction and Kakeya maximal estimates in R4

Nonempty interior of pinned distance and tree sets

Restriction and Kakeya maximal estimates in $R^{4}$