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BEZ NEAL RICHARD ベズ ニール リチャード

所属部署名 研究企画推進室 電話番号
職名 准教授 ■FAX番号
住所 埼玉県さいたま市桜区下大久保255 ■メールアドレス nealbez@mail.saitama-u.ac.jp
■ホームページURL

プロフィール

研究分野

Partial Differential Equations, Harmonic Analysis, Geometric Computation

所属学会

所属学会
London Mathematical Society

学歴

出身大学院・研究科等
2007 , University of Edinburgh , College of Science and Engineering , PhD Mathematics
出身学校・専攻等(大学院を除く)
2003 , University of Oxford , MMath Masters in Mathematics , First class honours

受賞学術賞

2012 , Visiting Professorship at Universitat de Barcelona
2011 , Visiting Fellowship at Isaac Newton Institute Cambridge
2010 , JSPS Invitation Fellowship

研究活動業績

研究業績(著書・発表論文等)

論文
Optimal constant for a smoothing estimate of critical index
,Trends in Mathematics,Fourier Analysis:1-7 2014
Neal Bez and Mitsuru Sugimoto

Global nonlinear Brascamp-Lieb inequalities
,Journal of Geometric Analysis,23:1806-1817 2013
Jonathan Bennett, Neal Bez and Susana Gutierrez

Transversal multilinear Radon-like transforms: local and global estimates
,Revista Matematica Iberoamericana ,29:756-788 2013
Jonathan Bennett, Neal Bez and Susana Gutierrez

New minimal bounds for the derivatives of rational Bezier paths and rational rectangular Bezier surfaces
,Applied Mathematics and Computation,225:475-479 2013
Helmut Bez and Neal Bez

On derivative bounds for the rational quadratic Bezier paths
,Computer Aided Geometric Design,30:254-261 2013
Helmut Bez and Neal Bez

A sharp Strichartz estimate for the wave equation with data in the energy space
,Journal of the European Mathematical Society,15:805-823 2013
Neal Bez and Keith Rogers

A majorant problem for the periodic Schrodinger group
,Symposium on Harmonic Analysis and Nonlinear PDE ,RIMS Kokyuroku Bessatsu(B33):1-10 2012
Jonathan Bennett and Neal Bez

Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
,Journal of Functional Analysis,259:2520-2556 2010
Jonathan Bennett and Neal Bez

Closure properties of solutions to heat inequalities
,Journal of Geometric Analysis,19:584-600 2009
Jonathan Bennett and Neal Bez

Heat-flow monotonicity related to the Hausdorff-Young inequality
,Bulletin of the London Mathematical Society,41:971-979 2009
Jonathan Bennett, Neal Bez and Anthony Carbery

Heat-flow monotonicity of Strichartz norms
,Analysis & PDE,2:147-158 2009
Jonathan Bennett, Neal Bez, Anthony Carbery and Dirk Hundertmark

Maximal operators along piecewise linear curves near $L^1$
,Indiana University Mathematics Journal,58:1639-1658 2009
Neal Bez

Maximal operators and Hilbert transforms along flat curves near $L^1$
,Journal of the Australian Mathematical Society,87:311-323 2009
Neal Bez

Heat-flow monotonicity underlying some sharp inequalities in geometric and harmonic analysis
,Symposium on Harmonic Analysis and Nonlinear PDE ,RIMS Kokyuroku Bessatsu(B14):1-16 2009
Neal Bez

Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms
,Journal of Functional Analysis,255:3281-3302 2008
Neal Bez

$L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves
,Proceedings of the American Mathematical Society,135:151-161 2007
Neal Bez

学会発表
A majorant problem for the periodic Schrodinger group
RIMS Kokyuroku Bessatsu,Symposium on Harmonic Analysis and Nonlinear PDE (RIMS, Kyoto, 2011),33:1-10 2012
Jonathan Bennett and Neal Bez

Heat-flow monotonicity underlying some sharp inequalities in geometric and harmonic analysis
RIMS Kokyuroku Bessatsu,Symposium on Harmonic Analysis and Nonlinear PDE (RIMS, Kyoto, 2008),B14:1-16 2009
Neal Bez

研究費

受託研究
2013-2014 , EPSRC Grant: Extremisers and near-extremisers for central inequalities in harmonic analysis, geometric analysis and PDE ,
2011-2012 , London Mathematical Society Computer Science Scheme 7 Grant ,