3 papers
math.CA2026
Falconer-type results for any finite graph with multiple pins
Tainara Borges, Ben Foster, Yumeng Ou +2
A generalization of the celebrated Falconer distance problem asks for a graph , with vertex set and edge set , how large the…
math.CA2025
Restriction and Kakeya maximal estimates in
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.CA2020
On the endpoint behaviour of oscillatory maximal function
Tainara Borges, Cynthia Bortolotto, João P. G. Ramos
Inspired by a question of Lie, we study boundedness in subspaces of of oscillatory maximal functions. In particular, we construct functions in w…