Aleksandar Bulj

activity

20222026

L^{p}

estimates for a class of multipliers with homogeneous unimodular symbols

3 citations · 3 across the 6 of their papers we have counts for

collaborators

7 papers

math.CA2026

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

Aleksandar Bulj, Vjekoslav Kovač

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 their applications

Aleksandar Bulj, Kotaro Inami, Shobu Shiraki

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

math.CA2025

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

Aleksandar Bulj, Shobu Shiraki

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

math.CA2024

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

Aleksandar Bulj

Let $μ$ be a translation invariant measure on $(R^{d}, B (R^{d}))$ and let $λ$ denote the Lebesgue measure on $R^{d}$ . If there exists an open set $U$ …

math.CA2023

Generic norm growth of powers of homogeneous unimodular Fourier multipliers

Aleksandar Bulj

For an integer $d \geq 2$ , $t \in R$ and a $0$ -homogeneous function $Φ \in C^{\infty} (R^{d} ∖ {0}, R)$ , we consider the family of Fourier multiplier o…

math.CA2022

Multi-parameter maximal Fourier restriction

Aleksandar Bulj, Vjekoslav Kovač

The main result of this note is the strengthening of a quite arbitrary a priori Fourier restriction estimate to a multi-parameter maximal estimate of the same type. This allows us…

math.CA2022★ 3 cited

Asymptotic behavior of $L^{p}$ estimates for a class of multipliers with homogeneous unimodular symbols

Aleksandar Bulj, Vjekoslav Kovač

We study Fourier multiplier operators associated with symbols $ξ \mapsto exp (iλ ϕ (ξ /∣ ξ ∣))$ , where $λ$ is a real number and $ϕ$ is a real-valued $C^{\infty}$ function on the standard u…

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

Reverse square function estimates for degenerate curves and their applications

Fourier extension estimates on a strip in R2

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

Generic norm growth of powers of homogeneous unimodular Fourier multipliers

Multi-parameter maximal Fourier restriction

Asymptotic behavior of Lp estimates for a class of multipliers with homogeneous unimodular symbols

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

Asymptotic behavior of $L^{p}$ estimates for a class of multipliers with homogeneous unimodular symbols