William Beckner

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All published works

Action	Title	Year	Authors
+	Symmetry in Fourier Analysis: Heisenberg Group to Stein–Weiss Integrals	2021	William Beckner
+	On Lie groups and hyperbolic symmetry—From Kunze–Stein phenomena to Riesz potentials	2015	William Beckner
+ PDF Chat	Functionals for multilinear fractional embedding	2014	William Beckner
+	Functionals for Multilinear Fractional Embedding	2014	William Beckner
+	Functionals for Multilinear Fractional Embedding	2014	William Beckner
+	Multilinear embedding – convolution estimates on smooth submanifolds	2013	William Beckner
+	Multilinear Embedding and Hardy's Inequality	2013	William Beckner
+	Multilinear Embedding and Hardy's Inequality	2013	William Beckner
+ PDF Chat	Embedding Estimates and Fractional Smoothness	2012	William Beckner
+	Embedding estimates and fractional smoothness	2012	William Beckner
+	Multilinear Embedding -- convolution estimates on smooth submanifolds	2012	William Beckner
+ PDF Chat	Multilinear embedding estimates for the fractional Laplacian	2012	William Beckner
+	Embedding estimates and fractional smoothness	2012	William Beckner
+	Multilinear Embedding -- convolution estimates on smooth submanifolds	2012	William Beckner
+ PDF Chat	Pitt's inequality and the fractional Laplacian: Sharp error estimates	2011	William Beckner
+	Convolution estimates and the Gross-Pitaevskii hierarchy	2011	William Beckner
+	Multilinear embedding estimates for the fractional Laplacian	2010	William Beckner
+	Multilinear embedding estimates for the fractional Laplacian	2010	William Beckner
+	On Hardy-Sobolev embedding	2009	William Beckner
+ PDF Chat	Weighted inequalities and Stein-Weiss potentials	2008	William Beckner
+ PDF Chat	Pitt's inequality with sharp convolution estimates	2007	William Beckner
+	Pitt's inequality and the fractional Laplacian: sharp error estimates	2007	William Beckner
+	Pitt's inequality with sharp error estimates	2007	William Beckner
+	Pitt's inequality and the fractional Laplacian: sharp error estimates	2007	William Beckner
+	Weighted inequalities and Stein-Weiss potentials	2006	William Beckner
+	Pitt's inequality with sharp convolution estimates	2006	William Beckner
+	Estimates on Moser Embedding	2003	William Beckner
+	Harmonic analysis at Mount Holyoke : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Harmonic Analysis, June 25-July 5, 2001, Mount Holyoke College, South Hadley, MA	2003	William Beckner
+	On the Grushin operator and hyperbolic symmetry	2000	William Beckner
+	On the Grushin operator and hyperbolic symmetry	1999	William Beckner
+	Asymptotic Estimates Using Probability	1998	William Beckner Amitai Regev
+	On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality	1998	William Beckner Michael M. Pearson
+	Sharp inequalities and geometric manifolds	1997	William Beckner
+	Logarithmic Sobolev inequalities and the existence of singular integrals	1997	William Beckner
+	Coefficients in some Young Derived Sequences	1996	William Beckner Amitai Regev
+	2. Geometric Inequalities in Fourier Analysis	1995	William Beckner
+ PDF Chat	Pitt’s inequality and the uncertainty principle	1995	William Beckner
+	Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality	1993	William Beckner
+	None	1991	William Beckner
+	A note on Restriction of the Fourier Transform to Spheres	1989	William Beckner Anthony Carbery Stephen Semmes Fernando Soria
+	A Generalized Poincare Inequality for Gaussian Measures	1989	William Beckner
+ PDF Chat	A generalized Poincaré inequality for Gaussian measures	1989	William Beckner
+	Asymptotics and algebraicity of some generating functions	1987	William Beckner Amitai Regev
+	Inequalities in Fourier Analysis	1975	William Beckner
+ PDF Chat	Inequalities in Fourier Analysis on <i> R <sup>n</sup> </i>	1975	William Beckner

Common Coauthors

Coauthor	Papers Together
Amitai Regev	3
Michael M. Pearson	1
Fernando Soria	1
Anthony Carbery	1
Stephen Semmes	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	22
+	Sharp inequalities and geometric manifolds	1997	William Beckner	18
+	Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities	2002	Élliott H. Lieb	16
+	Inequalities in Fourier Analysis	1975	William Beckner	13
+	A general rearrangement inequality for multiple integrals	1974	H. J. Brascamp Élliott H. Lieb J. M. Luttinger	13
+ PDF Chat	Pitt's inequality with sharp convolution estimates	2007	William Beckner	13
+ PDF Chat	Pitt’s inequality and the uncertainty principle	1995	William Beckner	13
+	Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality	1993	William Beckner	12
+	Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities	1983	Élliott H. Lieb	9
+ PDF Chat	Multilinear embedding estimates for the fractional Laplacian	2012	William Beckner	9
+	On the Grushin operator and hyperbolic symmetry	2000	William Beckner	8
+	Analytic continuation of group representations	1967	Elias M. Stein	8
+	L'integration dans les groupes topologiques et ses applications	1951	André Weil	7
+	Theorems on Fourier series and power series	1937	H. R. Pitt	7
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	7
+	On Weighted Fractional Integral Inequalities	2001	Stefan Eilertsen	6
+	Analytic continuation of group representations	1970	Elias M. Stein	6
+ PDF Chat	Fractional Integrals on n-Dimensional Euclidean Space	1958	Edward Stein Guido Weiss	6
+	Sharp Constants in the Hardy–Rellich Inequalities	1999	D. R. Yafaev	6
+ PDF Chat	Embedding Estimates and Fractional Smoothness	2012	William Beckner	5
+ PDF Chat	Weighted inequalities and Stein-Weiss potentials	2008	William Beckner	5
+ PDF Chat	On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy	2008	Sergiù Klainerman Matei Machedon	5
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	4
+	Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities	2000	Emmanuel Hebey	4
+	A Course of Modern Analysis	1996	E. T. Whittaker G. N. Watson	4
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	4
+	Non-linear ground state representations and sharp Hardy inequalities	2008	Rupert L. Frank Robert Seiringer	4
+ PDF Chat	An algebra of pseudo-differential operators and quantum mechanics in phase space	1968	A. Großmann G. Loupias Elias M. Stein	4
+	On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces	2002	Vladimir Maz’ya Tatyana Shaposhnikova	4
+	The uncertainty principle: A mathematical survey	1997	Gerald B. Folland Alladi Sitaram	4
+ PDF Chat	Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem	1988	David Jerison John M. Lee	4
+ PDF Chat	Spectral theory of the operator (p 2+m 2)1/2−Ze 2/r	1977	Ira Herbst	4
+	Logarithmic Sobolev inequalities and the existence of singular integrals	1997	William Beckner	4
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	4
+ PDF Chat	Pitt's inequality and the fractional Laplacian: Sharp error estimates	2011	William Beckner	4
+	Essays on Fourier analysis in honor of Elias M. Stein	1995	Elias M. Stein Charles Fefferman Robert Fefferman Stephen Wainger	3
+	On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies	2010	Thomas Chen Nataša Pavlović	3
+	2. Geometric Inequalities in Fourier Analysis	1995	William Beckner	3
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein	3
+	Best constants in Young's inequality, its converse, and its generalization to more than three functions	1976	H. J. Brascamp Élliott H. Lieb	3
+	Spherical rearrangements, subharmonic functions, and ∗-functions in n-space	1976	Albert Baernstein B. A. Taylor	3
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	3
+ PDF Chat	A fundamental solution for a subelliptic operator	1973	Gerald B. Folland	3
+	Estimates on Moser Embedding	2003	William Beckner	3
+	Multilinear Embedding and Hardy's Inequality	2013	William Beckner	3
+ PDF Chat	Explicit functional determinants in four dimensions	1991	Thomas Branson Bent Ørsted	2
+	Asymptotic values for degrees associated with strips of young diagrams	1981	Amitai Regev	2
+	Limiting embedding theorems forW s,p whens ↑ 1 and applications	2002	Jean Bourgain Haı̈m Brezis Petru Mironescu	2
+	The free Markoff field	1973	Edward Nelson	2
+ PDF Chat	Nonlinear maximum principles for dissipative linear nonlocal operators and applications	2012	Peter Constantin Vlad Vicol	2