A bilinear oscillatory integral along parabolas

Dashan Fan, Xiao-Chun Li

Type: Preprint

Publication Date: 2007-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.0709.2907

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A bilinear oscillatory integral along parabolas	2008	Dashan Fan Xiao-Chun Li
+	The boundedness of the bilinear oscillatory integral along a parabola	2023	Guoliang Li Junfeng Li
+ PDF Chat	A restriction estimate for a class of oscillatory integral operators along paraboloid	2019	Shaozhen Xu Wenjuan Li
+ PDF Chat	Bilinear oscillatory Fourier multipliers	2024	Tomoya Kato Akihiko Miyachi Naoto Shida Naohito Tomita
+	Bilinear oscillatory integrals and boundedness for new bilinear multipliers	2010	Frédéric Bernicot Pierre Germain
+	On the boundedness of certain bilinear oscillatory integral operators	2015	Salvador Rodríguez-López David Rule Wolfgang Staubach
+	Bilinear oscillatory integrals and boundedness for new bilinear multipliers	2009	Frédéric Bernicot Pierre Germain
+	Bilinear oscillatory integrals and boundedness for new bilinear multipliers	2009	Frédéric Bernicot Pierre Germain
+	Estimating Oscillatory Integrals of Convolution Type in $\mathbb{R}^d$	2018	Aleksandra Niepla Kevin O’Neill Zhen Zeng
+	Decay rate of multilinear oscillatory integral operators in $\mathbb {R}^2$	2019	Aleksandra Niepla Kevin O’Neill Zhen Zeng
+	Decay Rate of n-Linear Oscillatory Integral Operators in $\mathbb{R}^2$	2018	Aleksandra Niepla Kevin O’Neill Zhen Zeng
+ PDF Chat	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiao-Chun Li
+	The boundedness of a bilinear oscillatory integral	2022	Guoliang Li Junfeng Li
+	Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces	2006	Sanghyuk Lee
+ PDF Chat	$$L^2$$ Estimates of Trilinear Oscillatory Integrals of Convolution Type on $${\mathbb {R}}^2$$	2022	Yangkendi Deng Zuoshunhua Shi Dunyan Yan
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth
+	$L^2$ estimates of trilinear oscillatory integrals of convolution type on $\mathbb{R}^2$	2021	Yangkendi Deng Zuoshunhua Shi Dunyan Yan
+	Bilinear Hilbert transforms along curves I. The monomial case	2008	Xiao-Chun Li
+	L p estimates for bi-parameter and bilinear Fourier integral operators	2016	Qing Hong Lu Zhang
+ PDF Chat	A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds	2012	Zaher Hani

Works That Cite This (4)

Action	Title	Year	Authors
+	Uniform estimates for some paraproducts	2008	Xiaochun Li
+	Uniform estimates for some paraproducts	2007	Xiao-Chun Li
+ PDF Chat	Uniform estimates for paraproducts and related multilinear multipliers.	2009	Frédéric Bernicot
+ PDF Chat	Uniform estimates for paraproducts and related multilinear multipliers	2009	Frédéric Bernicot

Works Cited by This (12)

Action	Title	Year	Authors
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Fourier Integrals in Classical Analysis	2017	Christopher D. Sogge
+ PDF Chat	Multidimensional van der Corput and sublevel set estimates	1999	Anthony Carbery Michael Christ James Wright
+ PDF Chat	Oscillatory integrals and multipliers on FLp	1973	Lars Hörmander
+	On a stopping process for oscillatory integrals	1994	D. H. Phong E. M. Stein
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger
+	The disc as a bilinear multiplier	2006	Loukas Grafakos Xiaochun Li
+ PDF Chat	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger
+	Hilbert transforms for convex curves	1983	Alexander Nagel James Vance Stephen Wainger David A. Weinberg
+ PDF Chat	<i>L</i><sup><i>p</i></sup>-bounds for hypersingular integral operators along curves	1996	Sharad Chandarana