Aleksandar Bulj

activity

20242026

collaborators

4 papers

math.CA2026

On hyperbolic corners and unit-area triangles in planar sets of large measure

Aleksandar Bulj, Vjekoslav KovaÄ

For large $R$ , we consider measurable sets $A \subseteq [0, R]^{2}$ that avoid triples of points of the form $(x, y)$ , $(x + t, y)$ , $(x, y + 1/ t)$ with $x, y \in R$ and $t > 0$ , i.e., th…

math.CA2026

Reverse square function estimates for degenerate curves and its applications

Aleksandar Bulj, Kotaro Inami, Shobu Shiraki

Building on the classical work of CÃ³rdoba--Fefferman and the recent work of Schippa, we establish $L^{4}$ reverse square function estimates for functions whose Fourier support is co…

math.CA2025

Fourier extension estimates on a strip in $R^{2}$

Aleksandar Bulj, Shobu Shiraki

Given a smooth curve with nonzero curvature $I^£ \subset R^{2}$ , let $E_{I^} £$ denote the associated Fourier extension operator. For both general compact curves and the parabola,…

math.CA2024

Impossibility of decoding a translation invariant measure from a single set of positive Lebesgue measure