4 citations · 11 across the 12 of their papers we have counts for
8 papers · 1 filter
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav Kovač, Shohei Nakamura +1
Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…
On hyperbolic corners and unit-area triangles in planar sets of large measure
Aleksandar Bulj, Vjekoslav Kovač
For large , we consider measurable sets that avoid triples of points of the form , , with and , i.e., th…
A Banach space that distinguishes two maximal operators
Vjekoslav Kovač
Maz'ya and Shaposhnikova introduced a non-classical maximal operator as the maximal convolution with the vector-valued signum kernel truncated to centered balls. We co…
Near-optimal density theorems for large dilates of large point configurations
Vjekoslav Kovač, Adian Anibal Santos Sepčić
We study density thresholds that force a measurable set to contain all sufficiently large similar copies of every -point configuration. We prove a lower…
Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs
Cristian González-Riquelme, Vjekoslav Kovač, José Madrid
We study sharp -variational inequalities for the Hardy-Littlewood maximal operator on complete graphs, answering in the affirmative a question by Feng Liu and Qingying Xue. We a…
Asymptotic behavior of estimates for a class of multipliers with homogeneous unimodular symbols
Aleksandar Bulj, Vjekoslav Kovač
We study Fourier multiplier operators associated with symbols , where is a real number and is a real-valued function on the standard u…
Asymptotically sharp discrete nonlinear Hausdorff-Young inequalities for the SU(1,1)-valued Fourier products
Vjekoslav Kovač, Diogo Oliveira e Silva, Jelena Rupčić
We work in a discrete model of the nonlinear Fourier transform (following the terminology of Tao and Thiele), which appears in the study of orthogonal polynomials on the unit circl…
On a trilinear form related to the Carleson theorem
Vjekoslav Kovač
The main purpose of this short note is to present an adaptation of the multilinear Bellman function technique from [4] to the time-frequency analysis. Demeter and Thiele introduced…