Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Polona Durcik"'
Publikováno v:
Mathematische Zeitschrift. 302:2375-2405
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33450b9aa280880569e40b3e93325580
https://doi.org/10.1007/s00209-022-03148-8
https://doi.org/10.1007/s00209-022-03148-8
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
Publikováno v:
Discrete and Continuous Dynamical Systems
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous result of Bergelson, McCutcheon and Zhang, and complements a result o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d12e0d476298964bd8b843fa306fff4
http://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10682
http://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10682
Akademický článek
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Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficiently large annulus, for which the $\ell^2$ norm of the associated maxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64010921fd55c47c8400d63302864bf5
https://resolver.caltech.edu/CaltechAUTHORS:20210707-223531817
https://resolver.caltech.edu/CaltechAUTHORS:20210707-223531817
Autor:
Joris Roos, Polona Durcik
Publikováno v:
Durcik, P & Roos, J 2021, ' Averages of simplex Hilbert transforms ', Proceedings of the american mathematical society, vol. 149, pp. 633-647 . https://doi.org/10.1090/proc/15196
We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calder\'on commutators and the twisted paraproduct. We prove $L^p$ bounds in dimensions two and three
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a32e2e8d7b69a640e20b16891dedb26e
https://hdl.handle.net/20.500.11820/78177fda-7497-4b38-b890-d72e68741395
https://hdl.handle.net/20.500.11820/78177fda-7497-4b38-b890-d72e68741395
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
Autor:
Christoph Thiele, Polona Durcik
Publikováno v:
Geometric Aspects of Harmonic Analysis ISBN: 9783030720575
We present an overview of results on multi-linear singular integrals in the broader context of Brascamp–Lieb inequalities. This elaborates a lecture given at the inspiring conference on Geometric Aspects of Harmonic Analysis at Cortona 2018 in hono
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51e574c9465b21fa3cc3c96cc29e73b8
https://doi.org/10.1007/978-3-030-72058-2_9
https://doi.org/10.1007/978-3-030-72058-2_9
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
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 herein, and on bounds for an anisotropic variant of the twisted pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80f40326219b10ebb2fa13777a4f96e7
http://arxiv.org/abs/2008.10140
http://arxiv.org/abs/2008.10140