Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Vjekoslav Kovač"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 3 (2015)
The so-called triangular Hilbert transform is an elegant trilinear singular integral form which specializes to many well-studied objects of harmonic analysis. We investigate $L^{p}$ bounds for a dyadic model of this form in the particular case when o
Externí odkaz:
https://doaj.org/article/46410439776b4ba882c8c73774240342
Publikováno v:
Mathematische Annalen. 386:1081-1125
Let $R_{1,2}$ be scalar Riesz transforms on $\mathbb{R}^2$. We prove that the $L^p$ norms of $k$-th powers of the operator $R_2+iR_1$ behave exactly as $|k|^{1-2/p}p$, uniformly in $k\in\mathbb{Z}\backslash\{0\}$, $p\geq2$. This gives a complete asym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d06007d5c93b992d98804bd6bde35a5
https://doi.org/10.1007/s00208-022-02419-3
https://doi.org/10.1007/s00208-022-02419-3
For every $\beta\in(0,\infty)$, $\beta\neq 1$ we prove that a positive measure subset $A$ of the unit square contains a point $(x_0,y_0)$ such that $A$ nontrivially intersects curves $y-y_0 = a (x-x_0)^\beta$ for a whole interval $I\subseteq(0,\infty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c328d156e97aea1be7cad5d1443c4075
https://www.bib.irb.hr/1277060
https://www.bib.irb.hr/1277060
Autor:
Vjekoslav Kovač, Kristina Kovačević
Publikováno v:
Acta mathematica Spalatensia. Series didactica
Volume 5
Volume 5
Jedna igra opisana u popularnom romanu mnogo je nepovoljnija za igrače nego se isprva čini. Mi ćemo ju najprije simulirati računalom, a potom i modelirati pomoću slučajne šetnje na logaritamskoj skali. Konačno, razjasnit ćemo prividni parado
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::737818afbe756eed2d18c3b712d33fea
https://hrcak.srce.hr/293310
https://hrcak.srce.hr/293310
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 circle. The corresponding nonlinear variant of the Hausdorff-Young inequali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89e69b53697b8eecad5668efaa37352f
http://arxiv.org/abs/2109.06532
http://arxiv.org/abs/2109.06532
Autor:
Vjekoslav Kovač
Publikováno v:
Acta mathematica Spalatensia. Series didactica
Volume 2
Issue 2
Volume 2
Issue 2
Obradit ćemo jednu tehniku kojom se zadana nejednakost može lako dokazati zahvaljujući nekoj svojoj simetriji i to tako da se najprije dokaže njezina "lošija" varijanta, koja se potom "poboljša". Općenitu ideju obrazložit ćemo na nekoliko pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b0ac0bcad376e79b9d7f1b5ccaaa3b9
https://doi.org/10.32817/amssd.2.2.1
https://doi.org/10.32817/amssd.2.2.1
Autor:
Hrvoje Šikić, Vjekoslav Kovač
Publikováno v:
Monatshefte für Mathematik. 189:459-485
We present characterizations of democratic property for systems of translates on a general locally compact abelian group, along a lattice in that group. That way we generalize the results from [11] on systems of integer translates. Furthermore, we in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98866a765e7e2f2026df3e979254147f
https://doi.org/10.1007/s00605-019-01285-7
https://doi.org/10.1007/s00605-019-01285-7
Autor:
Vjekoslav Kovač
For a subset $A$ of $\{1,2,\ldots,N\}^2$ of size $\alpha N^2$ we show existence of $(m,n)\neq(0,0)$ such that the set $A$ contains at least $(\alpha^3 - o(1))N^2$ triples of points of the form $(a,b)$, $(a+m,b+n)$, $(a-n,b+m)$. This answers a questio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c441b38c576311411e3bd1839cfc1461
http://arxiv.org/abs/2101.12714
http://arxiv.org/abs/2101.12714
Autor:
Vjekoslav Kovač, Polona Durcik
We prove that sets with positive upper Banach density in sufficiently large dimensions contain congruent copies of all sufficiently large dilates of three specific higher-dimensional patterns. These patterns are: $2^n$ vertices of a fixed $n$-dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb2c268dbd6b5ba27621ea7147181477
https://www.bib.irb.hr/1094874
https://www.bib.irb.hr/1094874
We prove a.e. convergence of continuous-time quadratic averages with respect to two commuting $\mathbb{R}$-actions, coming from a single jointly measurable measure-preserving $\mathbb{R}^2$-action on a probability space. The key ingredient of the pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7f7cb8828d86dd8db9b69d5665c8ce2
http://arxiv.org/abs/2011.06370
http://arxiv.org/abs/2011.06370