Victor Lie

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All published works

Action	Title	Year	Authors
+	The non-resonant bilinear Hilbert-Carleson operator	2024	Cristina Benea Frédéric Bernicot Victor Lie Marco Vitturi
+ PDF Chat	Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances	2024	Alejandra Gaitan Victor Lie
+	A unified approach to three themes in harmonic analysis (I & II)	2023	Victor Lie
+	On the curved Trilinear Hilbert transform	2023	Bingyang Hu Victor Lie
+	The non-resonant bilinear Hilbert--Carleson operator	2021	Cristina Benea Frédéric Bernicot Victor Lie Marco Vitturi
+ PDF Chat	The Boundedness of the (Sub)bilinear Maximal Function Along “Non-flat” Smooth Curves	2020	Alejandra Gaitan Victor Lie
+ PDF Chat	The Polynomial Carleson operator	2020	Victor Lie
+ PDF Chat	The pointwise convergence of Fourier Series (II). Strong L1 case for the lacunary Carleson operator	2019	Victor Lie
+	A unified approach to three themes in harmonic analysis ($1^{st}$ part)	2019	Victor Lie
+	The Boundedness of the (Sub)Bilinear Maximal Function along "non-flat" smooth curves	2019	Alejandra Gaitan Victor Lie
+	The pointwise convergence of Fourier Series (II). Strong $L^1$ case for the lacunary Carleson operator	2019	Victor Lie
+	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves. The Banach triangle case $(L^r, 1 ≤ r < \infty)$	2018	Victor Lie
+ PDF Chat	Long term regularity of the one-fluid Euler–Maxwell system in 3D with vorticity	2017	Alexandru D. Ionescu Victor Lie
+ PDF Chat	Pointwise convergence of Fourier series (I). On a conjecture of Konyagin	2017	Victor Lie
+ PDF Chat	Maximal operators and Hilbert transforms along variable non‐flat homogeneous curves	2017	Shaoming Guo Jonathan Hickman Victor Lie Joris Roos
+	A Note on the Polynomial Carleson Operator in higher dimensions	2017	Victor Lie
+	Long term regularity of the one-fluid Euler-Maxwell system in 3D with vorticity	2016	Alexandru D. Ionescu Victor Lie
+	On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. The Banach triangle case ($L^r,\: 1\leq r<\infty$)	2015	Victor Lie
+ PDF Chat	On the absence of splash singularities in the case of two-fluid interfaces	2015	Charles Fefferman Alexandru D. Ionescu Victor Lie
+ PDF Chat	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves	2015	Victor Lie
+	On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. The Banach triangle case ($L^r,\: 1\leq r	2015	Victor Lie
+	The pointwise convergence of Fourier Series (I). On a conjecture of Konyagin	2014	Victor Lie
+ PDF Chat	On the boundedness of the Carleson operator near $L^1$	2013	Victor Lie
+	On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences	2012	Victor Lie
+	On the pointwise convergence of the sequence of partial Fourier Sums along lacunary subsequences	2012	Victor Lie
+	The Polynomial Carleson Operator	2011	Victor Lie
+	On the Boundedness of the Carleson Operator near $L^1$	2011	Victor Lie
+	On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves	2011	Victor Lie
+ PDF Chat	The (Weak-L 2) Boundedness of the Quadratic Carleson Operator	2009	Victor Lie
+	On Stein's Conjecture on the Polynomial Carleson Operator	2008	Victor Lie
+	The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator	2007	Victor Lie
+ PDF Chat	Approximation of infinite matrices by matricial Haar polynomials	2005	Sorina Bârză Victor Lie Nicolae Popa

Common Coauthors

Coauthor	Papers Together
Alexandru D. Ionescu	3
Alejandra Gaitan	3
Frédéric Bernicot	2
Marco Vitturi	2
Cristina Benea	2
Bingyang Hu	1
Shaoming Guo	1
Charles Fefferman	1
Sorina Bârză	1
Jonathan Hickman	1
Joris Roos	1
Nicolae Popa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On convergence and growth of partial sums of Fourier series	1966	Lennart Carleson	15
+ PDF Chat	A proof of boundedness of the Carleson operator	2000	Michael T. Lacey Christoph Thiele	13
+	Pointwise Convergence of Fourier Series	1973	Charles Fefferman	13
+	L p Estimates on the Bilinear Hilbert Transform for 2 < p < &#8734	1997	Michael T. Lacey Christoph Thiele	12
+ PDF Chat	The (Weak-L 2) Boundedness of the Quadratic Carleson Operator	2009	Victor Lie	12
+	On the Convergence of Fourier Series	1935	J. Marcinkiewicz	11
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	9
+ PDF Chat	On multilinear oscillatory integrals, nonsingular and singular	2005	Michael Christ Xiao-Chun Li Terence Tao Christoph Thiele	9
+ PDF Chat	Une série de Fourier-Lebesgue divergente presque partout	1923	A. Kolmogoroff	9
+ PDF Chat	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiao-Chun Li	9
+ PDF Chat	Oscillatory integrals related to Carleson’s theorem	2001	Elias M. Stein Stephen Wainger	9
+	On Calderon's Conjecture	1999	Michael T. Lacey Christoph Thiele	8
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger	8
+ PDF Chat	An inequality of Paley and convergence a.e. of Walsh-Fourier series	1969	Per Sjölin	8
+ PDF Chat	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra	8
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	7
+ PDF Chat	Convergence almost everywhere of certain singular integrals and multiple Fourier series	1971	Per Sjölin	7
+	The Polynomial Carleson Operator	2011	Victor Lie	7
+ PDF Chat	Cauchy integrals on Lipschitz curves and related operators	1977	A. P. Calderón	7
+	A Class of Singular Integrals	1964	B. Frank Jones	7
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	6
+	The Bilinear Maximal Functions Map into L p for 2/3 < p ≤ 1	2000	Michael T. Lacey	6
+	Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials	2016	Xiaochun Li Lechao Xiao	6
+ PDF Chat	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger	6
+ PDF Chat	On the convergence of lacunary Walsh-Fourier series	2011	Y. Q. Michael T. Lacey	5
+	Hilbert Transforms Along Curves: I. Nilpotent Groups	1985	Michael Christ	5
+ PDF Chat	The Polynomial Carleson operator	2020	Victor Lie	5
+ PDF Chat	Singular integrals with mixed homogeneity	1966	Eugene B. Fabes N. M. Rivière	5
+	Almost everywhere convergence and divergence of Fourier series	2007	Sergey Konyagin	5
+ PDF Chat	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves	2015	Victor Lie	5
+ PDF Chat	Pointwise convergence of Fourier series (I). On a conjecture of Konyagin	2017	Victor Lie	5
+ PDF Chat	On the divergence of Fourier series	1958	Richard P. Gosselin	5
+ PDF Chat	<i>L</i><sup><i>p</i></sup>estimates for the Hilbert transforms along a one-variable vector field	2013	Michael Bateman Christoph Thiele	4
+ PDF Chat	On the boundedness of the Carleson operator near $L^1$	2013	Victor Lie	4
+	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>	1969	Y. M. Chen	4
+ PDF Chat	Singular integrals and partial differential equations of parabolic type	1966	Eugene B. Fabes	4
+	On Limits of Sequences of Operators	1961	E. M. Stein	4
+ PDF Chat	The Boundedness of the (Sub)bilinear Maximal Function Along “Non-flat” Smooth Curves	2020	Alejandra Gaitan Victor Lie	4
+ PDF Chat	Note on differentiation of integrals and the halo conjecture	1985	Fernando Soria	4
+	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves. The Banach triangle case $(L^r, 1 ≤ r < \infty)$	2018	Victor Lie	4
+	Classes of singular integral operators along variable lines	1999	Anthony Carbery Andreas Seeger Stephen Wainger James Wright	4
+	A szemerédi type theorem for sets of positive density inR k	1986	Jean Bourgain	4
+	Multi-parameter singular Radon transforms III: Real analytic surfaces	2012	Elias M. Stein Brian Street	4
+ PDF Chat	Singular Radon transforms and maximal functions under convexity assumptions	2003	Andreas Seeger Stephen Wainger	4
+	A nonlinear version of Roth's theorem for sets of positive density in the real line	1988	Jean Bourgain	4
+ PDF Chat	POINTWISE CONVERGENCE OF FOURIER SERIES	2002	Juan Arias de Reyna	4
+ PDF Chat	On Hilbert transforms along curves	1974	Alexander Nagel N. M. Rivière Stephen Wainger	4
+ PDF Chat	A Littlewood-Paley Inequality for Arbitrary Intervals	1985	Josè L. Rubio de Francia	4
+	Almost Everywhere Convergent Fourier Series	2011	Marı́a J. Carro Mieczysław Mastyło Luis Rodríguez–Piazza	4
+	On Hilbert Transforms Along Curves. II	1976	Alexander Nagel N. M. Rivière Stephen Wainger	4