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The polynomial Carleson operator (Q2193962)

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Language	Label	Description	Also known as
English	The polynomial Carleson operator	scientific article

Statements

scholarly article

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The polynomial Carleson operator (English)

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Annals of Mathematics. Second Series

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publication date

25 August 2020

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full work available at URL

https://arxiv.org/abs/1105.4504

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zbMATH Keywords

time-frequency analysis

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Carleson's theorem

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polynomial Carleson operator

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higher-order wave-packet analysis

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MaRDI profile type

MaRDI publication profile

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Uniform bounds for the bilinear Hilbert transforms. I

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POINTWISE CONVERGENCE OF FOURIER SERIES

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On the norm convergence of non-conventional ergodic averages

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Single annulus \(L^p\) estimates for Hilbert transforms along vector fields

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\(L^p\) estimates for the Hilbert transforms along a one-variable vector field

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Multiple vector-valued inequalities via the helicoidal method

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Quasi-Banach valued inequalities via the helicoidal method

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Double recurrence and almost sure convergence.

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Cauchy integrals on Lipschitz curves and related operators

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On convergence and growth of partial sums of Fourier series

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An Almost Everywhere Divergent Fourier Series of the Class <i>L</i> (log<sup>+</sup> log<sup>+</sup> <i>L</i> )<sup>1−ε</sup>

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Hilbert transforms along curves. I: Nilpotent groups

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Singular and maximal Radon transforms: Analysis and geometry

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Domination of multilinear singular integrals by positive sparse forms

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Théorèmes ergodiques pour des mesures diagonales

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Pointwise convergence of the ergodic bilinear Hilbert transform

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Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform

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Breaking the duality in the return times theorem

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Maximal multilinear operators

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On the two-dimensional bilinear Hilbert transform

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Lacunary Fourier and Walsh-Fourier series near \(L^1\)

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Positive Sparse Domination of Variational Carleson Operators

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Square functions for bi-Lipschitz maps and directional operators

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On the convergence of lacunary Walsh-Fourier series

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𝐿^{𝑝} theory for outer measures and two themes of Lennart Carleson united

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Variation-norm and fluctuation estimates for ergodic bilinear averages

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Norm variation of ergodic averages with respect to two commuting transformations

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Singular integrals with mixed homogeneity

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Singular integrals and partial differential equations of parabolic type

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Pointwise convergence of Fourier series

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The uncertainty principle

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Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions

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Estimates for singular convolution operators on the Heisenberg group

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AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

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An inverse theorem for the Gowers \(U^{s+1}[N]\)-norm

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A new proof of Szemerédi's theorem for arithmetic progressions of length four

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A new proof of Szemerédi's theorem

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\(L^p\) bounds for a maximal dyadic sum operator

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Weighted norm inequalities for maximally modulated singular integral operators

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Estimates for singular Radon transforms and pseudodifferential operators with singular symbols

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Hilbert transform along measurable vector fields constant on Lipschitz curves: \(L^2\) boundedness

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Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness

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Maximal operators and Hilbert transforms along variable non‐flat homogeneous curves

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Nonconventional ergodic averages and nilmanifolds

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A Class of Singular Integrals

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On unboundedness of maximal operators for directional Hilbert transforms

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On everywhere divergence of trigonometric Fourier series

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On divergence of trigonometric Fourier series everywhere

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Everywhere divergent Fourier series

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DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION

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\(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)

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On Calderón's conjecture

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A proof of boundedness of the Carleson operator

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The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)

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Carleson's theorem: proof, complements, variations

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Maximal theorems for the directional Hilbert transform on the plane

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On a conjecture of E. M. Stein on the Hilbert transform on vector fields

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A pointwise estimate for the local sharp maximal function with applications to singular integrals

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On an estimate of Calderón-Zygmund operators by dyadic positive operators

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A Simple Proof of the A2 Conjecture

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Uniform bounds for the bilinear Hilbert transforms. II

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The (weak-\(L^{2}\)) boundedness of the quadratic Carleson operator

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On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences

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On the boundedness of the Carleson operator near \(L^1\)

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Pointwise convergence of Fourier series. I: On a conjecture of Konyagin

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The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator

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Theorems on Fourier Series and Power Series

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A Hardy space associated with twisted convolution

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Singular kernels supported by homogeneous submanifolds.

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Bi-parameter paraproducts

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\(L^p\) estimates for the biest. I: The Walsh case

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\(L^p\) estimates for the biest. II: The Fourier case

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On Hilbert transforms along curves

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On Hilbert Transforms Along Curves. II

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Proof of the Quasi-Ergodic Hypothesis

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Singular integrals related to the Radon transform and boundary value problems

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Hilbert integrals, singular integrals, and Radon transforms. I

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A weak \(L^2\) estimate for a maximal dyadic sum operator on \(\mathbb R^n\)

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DIVERGENT FOURIER SERIES

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Oscillatory singular integrals and harmonic analysis on nilpotent groups

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Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals

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Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds

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On Certain Sets of Integers

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An inequality of Paley and convergence a.e. of Walsh-Fourier series

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Convergence almost everywhere of certain singular integrals and multiple Fourier series

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Remarks on a theorem by N. Yu. Antonov

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Note on differentiation of integrals and the halo conjecture

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On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series

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On limits of sequences of operators

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Maximal functions: Spherical means

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Oscillatory integrals related to Radon-like transforms

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The estimation of an integral arising in multiplier transformations

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Problems in harmonic analysis related to curvature

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Oscillatory integrals related to Carleson's theorem

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Singular integrals supported on submanifolds

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On sets of integers containing no four elements in arithmetic progression

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On sets of integers containing k elements in arithmetic progression

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Norm convergence of multiple ergodic averages for commuting transformations

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Norm convergence of nilpotent ergodic averages

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Universal characteristic factors and Furstenberg averages

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Identifiers

zbMATH Open document ID

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10.4007/annals.2020.192.1.2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2193962

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