4 citations · 11 across the 12 of their papers we have counts for
13 papers
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…
On the number of divisors of Mersenne numbers
Vjekoslav Kovač, Florian Luca
Denote , where is the number of divisors function. Motivated by a question of Paul Erdős, we show that the sequence of ratios is…
On the irrationality of certain super-polynomially decaying series
Tonći Crmarić, Vjekoslav Kovač
We give a negative answer to a question by Paul Erdős and Ronald Graham on whether the series \[ \sum_{n=1}^{\infty} \frac{1}{(n+1)(n+2)\cdots(n+f(n))} \] has an irrational sum whe…
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…
Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients
Vjekoslav Kovač, Kristina Ana Škreb
We prove a bi-sublinear embedding for semigroups generated by non-smooth complex-coefficient elliptic operators in divergence form and for certain mutually dual pairs of Orlicz-spa…
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…
Popular differences for right isosceles triangles
Vjekoslav Kovač
For a subset of of size we show existence of such that the set contains at least triples of points of the for…
Variational estimates for martingale paraproducts
Vjekoslav Kovač, Pavel Zorin-Kranich
We show that bilinear variational estimates of Do, Muscalu, and Thiele (arXiv:1009.5187) remain valid for a pair of general martingales with respect to the same filtration. Our res…
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…