Jonathan Bennett

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All published works

Action	Title	Year	Authors
+ PDF Chat	Brascamp--Lieb inequalities on locally compact abelian groups	2024	Jonathan Bennett Michael Cowling
+	Adjoint Brascamp–Lieb inequalities	2024	Jonathan Bennett Terence Tao
+ PDF Chat	A phase-space approach to weighted Fourier extension inequalities	2024	Jonathan Bennett Susana Gutiérrez Shohei Nakamura Itamar Oliveira
+ PDF Chat	Fourier duality in the Brascamp–Lieb inequality	2021	Jonathan Bennett Eun-Hee Jeong
+ PDF	Tomography bounds for the Fourier extension operator and applications	2021	Jonathan Bennett Shohei Nakamura
+ PDF Chat	On the nonlinear Brascamp–Lieb inequality	2020	Jonathan Bennett Neal Bez Stefan Buschenhenke Michael Cowling Taryn C. Flock
+ PDF Chat	A supersolutions perspective on hypercontractivity	2020	Yosuke Aoki Jonathan Bennett Neal Bez Shuji Machihara Kosuke Matsuura Shobu Shiraki
+	Tomography bounds for the Fourier extension operator and applications	2020	Jonathan Bennett Shohei Nakamura
+	Fourier duality in the Brascamp-Lieb inequality	2020	Jonathan Bennett Eun-Hee Jeong
+	A supersolutions perspective on hypercontractivity	2019	Yosuke Aoki Jonathan Bennett Neal Bez Shuji Machihara Kosuke Matsuura Shobu Shiraki
+ PDF	Estimates for the kinetic transport equation in hyperbolic Sobolev spaces	2018	Jonathan Bennett Neal Bez Susana Gutiérrez Sanghyuk Lee
+	A sharp 𝑘-plane Strichartz inequality for the Schrödinger equation	2018	Jonathan Bennett Neal Bez Taryn C. Flock Susana Gutiérrez Marina Iliopoulou
+	The nonlinear Brascamp-Lieb inequality for simple data	2018	Jonathan Bennett Neal Bez Stefan Buschenhenke Taryn C. Flock
+ PDF Chat	Stability of the Brascamp-Lieb constant and applications	2018	Jonathan Bennett Neal Bez Taryn C. Flock Sanghyuk Lee
+ PDF	A multilinear Fourier extension identity on $\mathbb{R}^n$	2018	Jonathan Bennett Marina Iliopoulou
+ PDF	Generating monotone quantities for the heat equation	2017	Jonathan Bennett Neal Bez
+ PDF Chat	Behaviour of the Brascamp–Lieb constant	2017	Jonathan Bennett Neal Bez Michael Cowling Taryn C. Flock
+	On sharp bilinear Strichartz estimates of Ozawa–Tsutsumi type	2017	Jonathan Bennett Neal Bez Chris Jeavons Nikolaos Pattakos
+	A multilinear Fourier extension identity on $\mathbb{R}^n$	2017	Jonathan Bennett Marina Iliopoulou
+	Subdyadic square functions and applications to weighted harmonic analysis	2016	David Beltran Jonathan Bennett
+	A sharp $k$-plane Strichartz inequality for the Schr\"odinger equation	2016	Jonathan Bennett Neal Bez Taryn C. Flock Susana Gutiérrez Marina Iliopoulou
+	Estimates for the kinetic transport equation in hyperbolic Sobolev spaces	2016	Jonathan Bennett Neal Bez Susana Gutiérrez Sanghyuk Lee
+	Generating monotone quantities for the heat equation	2015	Jonathan Bennett Neal Bez
+ PDF	Flow Monotonicity and Strichartz Inequalities	2014	Jonathan Bennett Neal Bez Marina Iliopoulou
+ PDF	Optimal control of singular Fourier multipliers by maximal operators	2014	Jonathan Bennett
+ PDF	On the Strichartz Estimates for the Kinetic Transport Equation	2014	Jonathan Bennett Neal Bez Susana Gutiérrez Sanghyuk Lee
+	Flow monotonicity and Strichartz inequalities	2014	Jonathan Bennett Neal Bez Marina Iliopoulou
+	Aspects of Multilinear Harmonic Analysis Related to Transversality	2014	Jonathan Bennett
+	On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type	2014	Jonathan Bennett Neal Bez Chris Jeavons Nikolaos Pattakos
+ PDF Chat	Aspects of multilinear harmonic analysis related to transversality	2014	Jonathan Bennett
+ PDF	Transversal multilinear Radon-like transforms: local and global estimates	2013	Jonathan Bennett Neal Bez Susana Gutiérrez
+	On the Strichartz estimates for the kinetic transport equation	2013	Jonathan Bennett Neal Bez Susana Gutiérrez Sanghyuk Lee
+	A majorant problem for the periodic Schrodinger group (Harmonic Analysis and Nonlinear Partial Differential Equations)	2012	Jonathan Bennett Neal Bez
+	Global Nonlinear Brascamp–Lieb Inequalities	2012	Jonathan Bennett Neal Bez Susana Gutiérrez
+	Weighted norm inequalities for oscillatory integrals with finite type phases on the line	2012	Jonathan Bennett Samuel Harrison
+ PDF	On the size of divergence sets for the Schroedinger equation with radial data	2012	Jonathan Bennett Keith M. Rogers
+	A majorant problem for the Schrodinger group	2012	Jonathan Bennett Richard Bez
+	Weighted norm inequalities for oscillatory integrals with finite type phases on the line	2011	Jonathan Bennett Samuel Harrison
+ PDF	Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis	2010	Jonathan Bennett Neal Bez
+ PDF	On the dimension of divergence sets of dispersive equations	2010	Juan Antonio Barceló Jonathan Bennett Anthony Carbery Keith M. Rogers
+	Strichartz inequalities with weights in Morrey-Campanato classes	2010	Juan Antonio Barceló Jonathan Bennett Anthony Carbery Alberto Ruiz Mari Cruz Vilela
+ PDF	Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities	2010	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao
+	Heat-flow monotonicity related to some inequalities in Euclidean analysis	2010	Jonathan Bennett
+	Stochastic control of SDEs associated with Lévy generators and application to financial optimization	2009	Jonathan Bennett Jiang-Lun Wu
+	Local smoothing for Kato potentials in three dimensions	2009	JA Barceló Jonathan Bennett Alberto Ruiz Mari Cruz Vilela
+ PDF Chat	Heat-flow monotonicity related to the Hausdorff-Young inequality	2009	Jonathan Bennett Neal Bez Anthony Carbery
+	Nonlinear geometric inequalities via induction-on-scales	2009	Jonathan Bennett Neal Bez
+	Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis	2009	Jonathan Bennett Neal Bez
+ PDF	Heat-flow monotonicity of Strichartz norms	2009	Jonathan Bennett Neal Bez Anthony Carbery Dirk Hundertmark
+ PDF Chat	Closure Properties of Solutions to Heat Inequalities	2009	Jonathan Bennett Neal Bez
+ PDF	Corrigendum for “a Stein conjecture for the circle”	2008	Jonathan Bennett Anthony Carbery Fernando Soria Ana Vargas
+ PDF	A Note on Weighted Estimates for the Schrödinger Operator	2008	Alberto Ruiz Jonathan Bennett Anthony Carbery Mari Cruz Vilela Juan Antonio Barceló
+ PDF	A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR	2008	Juan Antonio Barceló Jonathan Bennett Anthony Carbery
+ PDF Chat	The Fourier extension operator on large spheres and related oscillatory integrals	2008	Jonathan Bennett Andreas Seeger
+	Heat-flow monotonicity of Strichartz norms	2008	Jonathan Bennett Neal Bez Anthony Carbery Dirk Hundertmark
+	Closure properties of solutions to heat inequalities	2008	Jonathan Bennett Neal Bez
+	Stochastic differential equations with polar-decomposed Lévy measures and applications to stochastic optimization	2007	Jonathan Bennett Jiang-Lun Wu
+ PDF	The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals	2007	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao
+ PDF	A Stein Conjecture for the Circle	2006	Jonathan Bennett Anthony Carbery Fernando Soria Ana Vargas
+	Spherical Perturbations of Schrödinger Equations	2006	Juan Antonio Barceló Jonathan Bennett Alberto Ruiz
+ PDF	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao
+	Some special solutions of the Schroedinger equation	2006	Juan Antonio Barceló Jonathan Bennett Anthony Carbery Alberto Ruiz Mari Cruz Vilela
+ PDF	A non-linear generalisation of the Loomis-Whitney inequality andapplications	2005	Jonathan Bennett Anthony Carbery James Wright
+	The Brascamp-Lieb inequalities: finiteness, structure, and extremals	2005	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao
+	On the Multilinear Restriction and Kakeya conjectures	2005	Jonathan Bennett Anthony Carbery Terence Tao
+	Finite bounds for Holder-Brascamp-Lieb multilinear inequalities	2005	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao
+	A trilinear restriction problem for the paraboloid in ℝ³	2004	Jonathan Bennett
+	A MULTILINEAR EXTENSION INEQUALITY IN $\mathbb{R}^{n}$	2004	Juan Antonio Barceló Jonathan Bennett Anthony Carbery
+	Mapping Properties of a Projection Related to the Helmholtz Equation	2003	Juan A. Barcel� Jonathan Bennett Alberto Ruiz
+	A bilinear extension inequality in two dimensions	2003	Juan Antonio Barceló Jonathan Bennett Anthony Carbery
+ PDF	Randomised circular means of Fourier transforms of measures	2002	Jonathan Bennett Ana Vargas
+ PDF	Hilbert transforms and maximal functions along variable flat curves	2002	Jonathan Bennett
+ PDF	A multiplier relation for Calderón-Zygmund operators on 𝐿¹({ℝ}ⁿ)	1999	Jonathan Bennett
+	Oscillatory singular integrals with variable flat phases, and related operators	1999	Jonathan Bennett
+	The computation of Fourier syntheses with a digital electronic calculating machine	1989	Jonathan Bennett J Kendrew
+ PDF	A method of virtual displacements for the degenerate discrete 𝑙₁ approximation problem	1978	W. Fraser Jonathan Bennett

Common Coauthors

Coauthor	Papers Together
Neal Bez	29
Anthony Carbery	19
Susana Gutiérrez	9
Juan Antonio Barceló	8
Terence Tao	7
Taryn C. Flock	6
Marina Iliopoulou	6
Alberto Ruiz	6
Sanghyuk Lee	5
Mari Cruz Vilela	4
Michael Christ	4
Ana Vargas	3
Michael Cowling	3
Shohei Nakamura	3
Eun-Hee Jeong	2
Keith M. Rogers	2
Shuji Machihara	2
Yosuke Aoki	2
Nikolaos Pattakos	2
Stefan Buschenhenke	2
Chris Jeavons	2
Shobu Shiraki	2
Dirk Hundertmark	2
Fernando Soria	2
Samuel Harrison	2
Jiang-Lun Wu	2
Kosuke Matsuura	2
Richard Bez	1
J Kendrew	1
Itamar Oliveira	1
David Beltran	1
James Wright	1
W. Fraser	1
JA Barceló	1
Juan A. Barcel�	1
Andreas Seeger	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao	26
+ PDF Chat	A sharp analog of Young’s inequality on SN and related entropy inequalities	2004	Eric A. Carlen Élliott H. Lieb Michael Loss	23
+ PDF	The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals	2007	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao	21
+ PDF	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega	17
+	Gaussian kernels have only Gaussian maximizers	1990	Élliott H. Lieb	16
+	Inequalities in Fourier Analysis	1975	William Beckner	13
+	Pointwise fourier inversion and localisation in Rn	1997	Anthony Carbery Fernando Soria	13
+	Weighted Estimates for the Helmholtz Equation and Some Applications	1997	Juan Antonio Barceló Alberto Ruiz Luis Vega	13
+ PDF	Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis	2010	Jonathan Bennett Neal Bez	13
+	Best constants in Young's inequality, its converse, and its generalization to more than three functions	1976	H. J. Brascamp Élliott H. Lieb	13
+ PDF Chat	On a reverse form of the Brascamp-Lieb inequality	1998	Franck Barthe	11
+ PDF	An inequality related to the isoperimetric inequality	1949	Lynn H. Loomis Hassler Whitney	11
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain	10
+ PDF	A non-linear generalisation of the Loomis-Whitney inequality andapplications	2005	Jonathan Bennett Anthony Carbery James Wright	10
+ PDF	Bilinear virial identities and applications	2009	Fabrice Planchon Luis Vega	10
+ PDF	A Stein Conjecture for the Circle	2006	Jonathan Bennett Anthony Carbery Fernando Soria Ana Vargas	10
+	Volumes of sections of cubes and related problems	2006	Keith Ball	9
+ PDF	A convolution estimate for two-dimensional hypersurfaces	2010	Ioan Bejenaru Sebastian Herr Daniel Tataru	9
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	9
+ PDF	Inequalities for strongly singular convolution operators	1970	Charles Fefferman	8
+ PDF	Maximizers for the Strichartz Inequality	2007	Damiano Foschi	8
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth	8
+ PDF	Weighted inequalities for Bochner-Riesz means in the plane	2000	Anthony Carbery	8
+	The Brunn–Minkowski theorem and related geometric and functional inequalities	2007	Franck Barthe	8
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	7
+ PDF Chat	Convolutions of singular measures and applications to the Zakharov system	2011	Ioan Bejenaru Sebastian Herr	7
+	On sharp Strichartz inequalities in low dimensions	2006	Dirk Hundertmark Vadim Zharnitsky	7
+ PDF	Inequalities in Fourier Analysis on <i> R <sup>n</sup> </i>	1975	William Beckner	7
+ PDF Chat	Stability of the Brascamp-Lieb constant and applications	2018	Jonathan Bennett Neal Bez Taryn C. Flock Sanghyuk Lee	7
+ PDF	Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities	2010	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao	7
+ PDF Chat	Some special solutions of the Schr\"odinger equation	2007	Juan Antonio Barceló J. M. Bennett Anthony Carbery Alberto Ruiz Mari Cruz Vilela	7
+	𝐿^{𝑝} improving bounds for averages along curves	2003	Terence Tao James Wright	7
+ PDF Chat	Aspects of multilinear harmonic analysis related to transversality	2014	Jonathan Bennett	7
+ PDF	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	2016	Jean Bourgain Ciprian Demeter Larry Guth	7
+ PDF Chat	Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates	2001	Terence Tao	6
+ PDF Chat	A short proof of the multilinear Kakeya inequality	2014	Larry Guth	6
+	Global Nonlinear Brascamp–Lieb Inequalities	2012	Jonathan Bennett Neal Bez Susana Gutiérrez	6
+ PDF Chat	Optimal young's inequality and its converse: a simple proof	1998	F. Barthe	6
+ PDF Chat	A sharp bilinear restriction estimate for paraboloids	2003	Terence Tao	6
+ PDF Chat	Closure Properties of Solutions to Heat Inequalities	2009	Jonathan Bennett Neal Bez	6
+ PDF	The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture	2010	Larry Guth	6
+	A note on Restriction of the Fourier Transform to Spheres	1989	William Beckner Anthony Carbery Stephen Semmes Fernando Soria	6
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	6
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	6
+	The Kakeya Maximal Function and the Spherical Summation Multipliers	1977	Antonio Córdoba	6
+ PDF	Schrödinger equations: pointwise convergence to the initial data	1988	Luis Vega	6
+ PDF	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	5
+	The Multiplier Problem for the Ball	1971	Charles Fefferman	5
+ PDF	$L^p$ improving multilinear Radon-like transforms	2011	Betsy Stovall	5
+ PDF	Weighted norm inequalities for the continuous square function	1989	Jeremy M. Wilson	5