William Beckner | Academic Influence

William Beckner 's AcademicInfluence.com Rankings

William Beckner

Mathematics

#3638

World Rank

#5338

Historical Rank

#1331

USA Rank

Measure Theory

#3193

World Rank

#3780

Historical Rank

#922

USA Rank

mathematics Degrees

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Mathematics

William Beckner 's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of California, Berkeley

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Why Is William Beckner Influential?

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According to Wikipedia, William Beckner is an American mathematician, known for his work in harmonic analysis, especially geometric inequalities. He is the Paul V. Montgomery Centennial Memorial Professor in Mathematics at The University of Texas at Austin.

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William Beckner 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Inequalities in Fourier analysis (1975) (1100)
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality (1993) (621)
Pitt’s inequality and the uncertainty principle (1995) (201)
A generalized Poincaré inequality for Gaussian measures (1989) (177)
Conference on Harmonic Analysis in honor of Antoni Zygmund (1983) (169)
Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn. (1992) (131)
Inequalities in Fourier Analysis on Rn (1975) (107)
Pitt’s inequality with sharp convolution estimates (2006) (92)
Geometric asymptotics and the logarithmic Sobolev inequality (1999) (81)
On the Grushin operator and hyperbolic symmetry (1999) (81)
Procedural and submittal guidance for the individual plant examination of external events (IPEEE) for severe accident vulnerabilities (1991) (69)
Weighted inequalities and Stein-Weiss potentials (2006) (53)
On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality (1998) (48)
Pitt's inequality and the fractional Laplacian: Sharp error estimates (2007) (43)
Geometric proof of Nash's inequality (1998) (36)
A note on Restriction of the Fourier Transform to Spheres (1989) (35)
Inequalities in fourier analysis on R. (1975) (32)
Sharp inequalities and geometric manifolds (1997) (30)
Functionals for multilinear fractional embedding (2014) (27)
Logarithmic Sobolev inequalities and the existence of singular integrals (1997) (18)
Estimates on Moser Embedding (2004) (18)
2. Geometric Inequalities in Fourier Analysis (1995) (17)
On Lie groups and hyperbolic symmetry—From Kunze–Stein phenomena to Riesz potentials (2015) (17)
Multilinear embedding estimates for the fractional Laplacian (2010) (15)
Asymptotic Estimates for Gagliardo–Nirenberg Embedding Constants (2002) (12)
Multilinear embedding – convolution estimates on smooth submanifolds (2012) (11)
Embedding estimates and fractional smoothness (2012) (11)
Harmonic Analysis at Mount Holyoke (2003) (9)
ASYMPTOTIC ESTIMATES USING PROBABILITY (1998) (9)
Multilinear Embedding and Hardy's Inequality (2013) (8)
Convolution estimates and the Gross-Pitaevskii hierarchy (2011) (7)
A Higher Order Relationship Between Static Power Tilts and Eigenvalue Separation in Nuclear Reactors (1975) (7)
Moser-Trudinger inequality in higher dimensions (1991) (7)
On Hardy-Sobolev embedding (2009) (7)
Asymptotics and algebraicity of some generating functions (1987) (7)
Symmetry in Fourier Analysis: Heisenberg Group to Stein–Weiss Integrals (2021) (5)
Pitt's inequality with sharp error estimates (2007) (5)
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) (4)
UNITED STATES NUCLEAR REGULATORY COMMISSION OFFICE OF NUCLEAR REACTOR REGULATION WASHINGTON, D.C. 20555-0001 (2002) (3)
Coefficients in some Young Derived Sequences (1996) (2)
Reformulation of the xenon optimal control problem using lambda modes (1975) (2)
PWR and BWR Anticipated and Abnormal Plant Transient Research Sponsored by the U.S. Nuclear Regulatory Commission (1984) (1)
Functionals for multilinear fractional embedding (2014) (0)
Extension of the modified static flux-tilt method to two dimensions (1974) (0)
Higher order relationship between static power tilts and eigenvalue separation (1974) (0)
Overview of NRC's emergency core coolant bypass research. [PWR] (1979) (0)
Analysis of small-scale ECC bypass data. [PWR] (1979) (0)

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