Trilinear smoothing inequalities and a variant of the triangular Hilbert transform

M Christ, P Durcik, J Roos - Advances in Mathematics, 2021 - Elsevier
Lebesgue space inequalities are proved for a variant of the triangular Hilbert transform
involving curvature. The analysis relies on a crucial trilinear smoothing inequality developed …

Singular Brascamp–Lieb: a survey

P Durcik, C Thiele - Geometric aspects of harmonic analysis, 2021 - Springer
Singular Brascamp–Lieb: A Survey | SpringerLink Skip to main content Advertisement
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Norm variation of ergodic averages with respect to two commuting transformations

P Durcik, V Kovač, KA Škreb, C Thiele - Ergodic Theory and …, 2019 - cambridge.org
We study double ergodic averages with respect to two general commuting transformations
and establish a sharp quantitative result on their convergence in the norm. We approach the …

Density theorems for anisotropic point configurations

V Kovač - Canadian journal of mathematics, 2022 - cambridge.org
Several results in the existing literature establish Euclidean density theorems of the
following strong type. These results claim that every set of positive upper Banach density in …

Large dilates of hypercube graphs in the plane

V Kovač, B Predojević - Analysis Mathematica, 2024 - Springer
We study a distance graph Γ n that is isomorphic to the 1-skeleton of an n-dimensional unit
hypercube. We show that every measurable set of positive upper Banach density in the …

[HTML][HTML] T (1) theorem for dyadic singular integral forms associated with hypergraphs

M Stipčić - Journal of mathematical analysis and applications, 2020 - Elsevier
This paper studies dyadic singular integral forms associated with r-partite r-uniform
hypergraphs such that all their connected components are complete. We characterize their L …

Convergence of ergodic–martingale paraproducts

V Kovač, M Stipčić - Statistics & probability letters, 2020 - Elsevier
In this note we introduce a sequence of bilinear operators that unify ergodic averages and
backward martingales in a nontrivial way. We establish its convergence in a range of L p …

Bellman functions and estimates for paraproducts

V Kovač, KA Škreb - arXiv preprint arXiv:1609.02895, 2016 - arxiv.org
We give an explicit formula for one possible Bellman function associated with the $ L^ p $
boundedness of dyadic paraproducts regarded as bilinear operators or trilinear forms. Then …

Boundedness of some multi-parameter fiber-wise multiplier operators

F Bernicot, P Durcik - arXiv preprint arXiv:2007.02211, 2020 - arxiv.org
arXiv:2007.02211v1 [math.CA] 5 Jul 2020 Page 1 arXiv:2007.02211v1 [math.CA] 5 Jul 2020
BOUNDEDNESS OF SOME MULTI-PARAMETER FIBER-WISE MULTIPLIER OPERATORS …

Multilinear singular integrals associated with hypergraphs

M Stipčić - 2020 - repozitorij.pmf.unizg.hr
Sažetak This work contributes to the theory of entangled multilinear singular integral forms
by giving the first characterizations of\(L^ p\) boundedness of dyadic versions of these forms …