Tainara Borges

activity

20202026

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3 papers · 1 filter

math.CA2023

Sobolev smoothing estimates for bilinear maximal operators with fractal dilation sets

Tainara Borges, Benjamin Foster, Yumeng Ou

Given a hypersurface $S \subset R^{2 d}$ , we study the bilinear averaging operator that averages a pair of functions over $S$ , as well as more general bilinear multipliers o…

math.CA2023

A singular variant of the Falconer distance problem

Tainara Borges, Alex Iosevich, Yumeng Ou

In this paper we study the following variant of the Falconer distance problem. Let $E$ be a compact subset of $R^{d}$ , $d \geq 1$ , and define $$ \Box(E)=\left\{\sqrt{{|x-y|…

math.CA2023

Bounds for lacunary bilinear spherical and triangle maximal functions

Tainara Borges, Benjamin Foster

We prove $L^{p} \times L^{q} \to L^{r}$ bounds for certain lacunary bilinear maximal averaging operators with parameters satisfying the Hölder relation $1/ p + 1/ q = 1/ r$ . The boundedne…