Xiaochun Li

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All published works

Action	Title	Year	Authors
+	A Remark on Stein–Tomas Type Restriction Theorems	2025	Xiaochun Li
+ PDF Chat	On almost everywhere convergence of planar Bochner-Riesz mean	2024	Xiaochun Li Shukun Wu
+	An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem	2023	Xiaochun Li Xuerui Yang
+	A remark on the mean value inequalities related to Waring's problem	2023	Xiaochun Li
+	A Stein-Tomas type estimate and a decoupling inequality	2023	Xiaochun Li
+ PDF	The Ball-Relaxed Gradient-Projection Algorithm for Split Feasibility Problem	2022	Xiaochun Li Xiaoxiao Liu Fugen Gao
+ PDF	Strong Convergence on the Split Feasibility Problem by Mixing <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>W</mi> </math>-Mapping	2021	Fugen Gao Xiaoxiao Liu Xiaochun Li
+	Two bipolynomial Roth theorems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math>	2021	Xuezhi Chen Jingwei Guo Xiaochun Li
+ PDF Chat	Improved estimates for polynomial Roth type theorems in finite fields	2020	Dong Dong Xiaochun Li Will Sawin
+	Two bipolynomial Roth theorems in $\mathbb{R}$	2020	Xuezhi Chen Jingwei Guo Xiaochun Li
+	$$l^p$$ l p decoupling for restricted k-broadness	2018	Xiumin Du Xiaochun Li
+	Pointwise convergence of Schrödinger solutions and multilinear refined Strichartz estimates	2018	Xiumin Du Larry Guth Xiaochun Li Ruixiang Zhang
+ PDF	POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES	2018	Xiumin Du Larry Guth Xiaochun Li Ruixiang Zhang
+	A sharp Schrödinger maximal estimate in R[superscript 2]	2017	Xiumin Du Larry Guth Xiaochun Li
+ PDF Chat	A sharp Schrödinger maximal estimate in $\mathbb{R}^2$	2017	Xiumin Du Larry Guth Xiaochun Li
+	Improved estimates for polynomial Roth type theorems in finite fields	2017	Dong Dong Xiaochun Li Will Sawin
+	Some topics in harmonic analysis and applications	2016	Junfeng Li Xiaochun Li Guozhen Lu
+	A sharp Schrodinger maximal estimate in $\mathbb{R}^2$	2016	Xiumin Du Larry Guth Xiaochun Li
+	A simple introduction to Hardy-Littlewood circle method	2016	Xiaochun Li
+	Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials	2016	Xiaochun Li Lechao Xiao
+	$l^p$ decoupling for restricted $k$-broadness	2016	Xiumin Du Xiaochun Li
+	Pointwise convergence of the solutions to Schr\"odinger equation in $\mathbb R^2$	2015	Xiumin Du Xiaochun Li
+	$L^p$-estimates of maximal function related to Schrödinger Equation in $\mathbb{R}^2$	2015	Xiumin Du Xiaochun Li
+ PDF	Note on the strong convergence of a weighted sum	2014	Xiaochun Li Yu Miao Xiaoman Zhang
+ PDF	On properties of k-quasi-class A ( n ) operators	2014	Xiaochun Li Fugen Gao
+ PDF	On Properties of Class<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>A</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-Paranormal Operators	2014	Xiaochun Li Fugen Gao
+ PDF	Tensor products and the spectral continuity for $k$-quasi-$\ast$-class A operators	2014	Fugen Gao Xiaochun Li
+ PDF	On k-quasi-paranormal operators	2014	Fugen Gao Xiaochun Li
+	On Properties for κ-Quasi-*-class A Contractions	2014	Xiaochun Li Gao Fugen
+ PDF	On ∗-class A contractions	2013	Fugen Gao Xiaochun Li
+	Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials	2013	Xiaochun Li Lechao Xiao
+ PDF	An elementary operator and generalized Weyl’s theorem	2012	Fugen Gao Xiaochun Li
+	Some Properties of k-quasi-class A Operators	2012	Xiaochun Li
+ PDF	Spectrum of Quasi-Class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>(A,k)</mml:mi></mml:mrow></mml:math> Operators	2011	Xiaochun Li Fugen Gao Xiaochun Fang
+	Discrete Fourier restriction associated with Schrodinger equations	2011	Yichen Hu Xiaochun Li
+	On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields	2010	Michael T. Lacey Xiaochun Li
+ PDF	On a conjecture of E. M. Stein on the Hilbert transform on vector fields	2010	Michael T. Lacey Xiaochun Li
+ PDF Chat	Composition of Haar paraproducts: the random case	2009	Dmitriy Bilyk Michael T. Lacey Xiaochun Li Brett D. Wick
+	Uniform estimates for some paraproducts	2008	Xiaochun Li
+ PDF Chat	Generalizations of the Carleson-Hunt theorem I. The classical singularity case	2007	Xiaochun Li Camil Muscalu
+	On a Stein Conjecture on the Hilbert Transform on Vector Fields	2007	Michael T. Lacey Xiaochun Li
+	The minimal entropy martingale measure of Brown motion with jump	2007	Xiaochun Li
+ PDF	Uniform Bounds for the Bilinear Hilbert Transforms, II	2006	Xiaochun Li
+	The disc as a bilinear multiplier	2006	Loukas Grafakos Xiaochun Li
+	On a Lipschitz Variant of the Kakeya Maximal Function	2006	Michael T. Lacey Xiaochun Li
+	Local linear extrapolation	2003	Xiaochun Li Nancy E. Heckman
+	On the Hilbert Transform and $C^{1+\ze}$ Families of Lines	2003	Michael T. Lacey Xiaochun Li
+	The bilinear multiplier problem for the disc	2003	Loukas Grafakos Xiaochun Li
+	On multilinear oscillatory integrals, nonsingular and singular	2003	Michael Christ Xiaochun Li Terence Tao Christoph Thiele
+	Some generalizations on the boundedness of bilinear operators	1997	Xiaochun Li Shanzhen Lu Yang Dachun

Common Coauthors

Coauthor	Papers Together
Xiumin Du	9
Fugen Gao	9
Michael T. Lacey	6
Larry Guth	5
Lechao Xiao	2
Loukas Grafakos	2
Will Sawin	2
Jingwei Guo	2
Ruixiang Zhang	2
Dong Dong	2
Xiaoxiao Liu	2
Xuezhi Chen	2
Yichen Hu	1
Dmitriy Bilyk	1
Yang Dachun	1
Christoph Thiele	1
Camil Muscalu	1
Guozhen Lu	1
Yu Miao	1
Shukun Wu	1
Xiaoman Zhang	1
Junfeng Li	1
Xuerui Yang	1
Nancy E. Heckman	1
Xiaochun Fang	1
Brett D. Wick	1
Gao Fugen	1
Shanzhen Lu	1
Terence Tao	1
Michael Christ	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Uniform bounds for the bilinear Hilbert transforms, I	2004	Loukas Grafakos Xiaochun Li	9
+	L p Estimates on the Bilinear Hilbert Transform for 2 < p < &#8734	1997	Michael T. Lacey Christoph Thiele	9
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	9
+ PDF	On convergence and growth of partial sums of Fourier series	1966	Lennart Carleson	8
+	A subclass of paranormal operators including class of log-hyponormal and several related classes	1998	Takehiro Furuta	7
+	On Calderon's Conjecture	1999	Michael T. Lacey Christoph Thiele	7
+	Multi-linear operators given by singular multipliers	2001	Camil Muscalu Terence Tao Christoph Thiele	7
+	Pointwise Convergence of Fourier Series	1973	Charles Fefferman	6
+ PDF	Oscillatory integrals and multipliers on FLp	1973	Lars Hörmander	6
+ PDF	On the class of paranormal operators	1967	Takayuki Furuta	6
+	A restriction estimate using polynomial partitioning	2015	Larry Guth	6
+ PDF	Restriction estimates using polynomial partitioning II	2018	Larry Guth	5
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger	5
+ PDF	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiaochun Li	5
+	On Calder\'on's conjecture	1999	Michael T. Lacey Christoph Thiele	5
+	Onp-hyponormal operators for 0<p<1	1990	Ariyadasa Aluthge	5
+	The Multiplier Problem for the Ball	1971	Charles Fefferman	4
+	A Uniform Estimate	2002	Christoph Thiele	4
+	The Bilinear Maximal Functions Map into L p for 2/3 < p ≤ 1	2000	Michael T. Lacey	4
+	Maximal operators over arbitrary sets of directions	1999	Nets Hawk Katz	4
+	On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:math>-paranormal contractions and properties for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:math>-class A operators	2011	B. P. Duggal In Ho Jeon In Hyoun Kim	4
+ PDF	Multidimensional van der Corput and sublevel set estimates	1999	Anthony Carbery Michael Christ James Wright	4
+ PDF	A proof of boundedness of the Carleson operator	2000	Michael T. Lacey Christoph Thiele	4
+	Invitation to Linear Operators	2001	Takayuki Furuta	4
+	Classes of singular integral operators along variable lines	1999	Anthony Carbery Andreas Seeger Stephen Wainger James Wright	4
+ PDF	The proof of the l^2 Decoupling Conjecture	2015	Jean Bourgain Ciprian Demeter	4
+ PDF	On commutators of singular integrals and bilinear singular integrals	1975	Ronald R. Coifman Yves Meyer	4
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	3
+ PDF	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger	3
+ PDF	Maximal theorems for the directional Hilbert transform on the plane	2006	Michael T. Lacey Xiaochun Li	3
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	3
+	STRONG TYPE INEQUALITIES AND AN ALMOST-ORTHOGONALITY PRINCIPLE FOR FAMILIES OF MAXIMAL OPERATORS ALONG DIRECTIONS IN ${\bb R}^2$	2003	Angeles Alfonseca	3
+	Maximal Functions Associated to Rectangles with Uniformly Distributed Directions	1978	Jan-Olov Strömberg	3
+ PDF	Approximate proper vectors	1962	S. K. Berberian	3
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	3
+	On operators satisfying T∗∣T2∣T⩾T∗∣T∣2T	2006	Ho Jeon Hyoun K. Kim	3
+ PDF	A remark on maximal operators along directions in ${\Bbb R}^2$	2003	Angeles Alfonseca Fernando Soria Ana Vargas	3
+	Coherence on Fractals Versus Pointwise Convergence for the Schrödinger Equation	2016	Renato Lucà Keith M. Rogers	3
+	La conjecture de Weil. I	1974	Pierre Deligne	3
+	On differentiation of integrals	1977	Antonio Córdoba Robert Fefferman	3
+ PDF Chat	Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces	2012	Jean Bourgain	3
+ PDF	Tensor products of operators—strong stability and p-hyponormality	2000	B. P. Duggal	3
+ PDF	Seminormality of operators from their tensor product	1996	Jan Stochel	3
+ PDF	On (n,k)-quasiparanormal operators	2012	Jiangtao Yuan Guoxing Ji	3
+ PDF	Weak estimates on maximal functions with rectangles in certain directions	1977	Jan-Olov Strömberg	3
+	An Operator Transform from Class A to the Class of Hyponormal Operators and its Application	2005	Muneo Chō Takeaki Yamazaki	3
+	On the Convergence of Fourier Series	1935	J. Marcinkiewicz	3
+ PDF Chat	Uniform estimates on multi-linear operators with modulation symmetry	2002	Camil Muscalu Terence Tao Christoph Thiele	3
+	Multilinear Calderón–Zygmund Theory	2002	Loukas Grafakos Rodolfo H. Torres	3
+ PDF Chat	Uniform estimates on paraproducts	2002	Camil Muscalu Terence Tao Christoph Thiele	3