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研究成果

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ニール・ベズ Neal Bez 理工学研究科(数学)

2019年1月1日

(平成31年1月よりテニュア付与のため、平成30年12月31日までの研究論文状況)

【研究論文】

Bennett, J., Bez, N., Jeavons, C., Pattakos, N., “On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type”, Journal of the Mathematical Society of Japan. (Accepted.)

Bez, N., Jeavons, C., “A sharp Sobolev-Strichartz estimate for the wave equation”, Electronic Research Announcements in Mathematical Sciences, 22, 2015, 46-54.

Bez, N., Jeavons, C., Ozawa, T., “Some sharp bilinear space-time estimates for the wave equation”, Mathematika.

(Accepted.)

Bez, N., Machihara, S., Sugimoto, M., “Extremisers for the trace theorem on the sphere”, Mathematical Research Letters. (Accepted.)

Bez, N., Saito, H., Sugimoto, M., “Applications of the Funk-Hecke theorem to smoothing and trace estimates”, Advances in Mathematics, 285, 2015, 1767-1795.

Bez, N. & Sugimoto, M., “Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index”, Journal of Fourier Analysis and Applications. (Accepted.)

Bennett, J., Bez, N. & Iliopoulou, M., “Flow monotonicity and Strichartz inequalities”, International Mathematical Research Notices. (Accepted.)

Bez, N., Jeavons, C. & Pattakos, N., “Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator”, Proceedings of the 9th International ISAAC Congress. (Accepted.)

Bez, N. & Sugimoto, M., “Some recent progress on sharp Kato-type smoothing estimates”, AMS Contemporary Mathematics Series (Complex Analysis and Dynamical Systems VI conference proceedings). (Accepted.)

Bez, H. & Bez, N., “A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc-Deslauriers subdivision scheme”, LMS Journal of Computation and Mathematics, 17 (1), 226-232, 2014.

Bennett, J., Bez, N., Gutierrez, S. & Lee, S., "On the Strichartz estimates for the kinetic transport equation," Communications in Partial Differential Equations, 39(10), 1821-1826, 2014.

Bez, N. & Sugimoto, M., "Optimal constants and extremisers for some smoothing estimates," to appear in Journal d’Analyse Mathematique.

Bez, H. & Bez, N., "A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc-Deslauriers subdivision scheme," London Mathematical Society Journal of Computation and Mathematics, Volume 17, Issue 1, pp. 226-232, 2014.

Bez, N. & Sugimoto, M., "Optimal constant for a smoothing estimate of critical index," Fourier Analysis, Trends in Mathematics, Birkhauser/Springer Basel AG, Basel, pp. 1-7, 2014.

Bez, N., Jeavons, C. & Pattakos, N., "Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator," to appear in the Proceedings of the 9th International ISAAC Conference, 2014.

Bez, N. & Rogers, K., "A sharp Strichartz estimate for the wave equation with data in the energy space," Journal of the European Mathematical Society, 15:805-823 2013.

Bennett, J., Bez, N., Carbery, A. & Hundertmark, D., "Heat-flow monotonicity of Strichartz norms," Analysis & PDE, 2:147-158 2009.

Bennett, J. & Bez, N., "Closure properties of solutions to heat inequalities," Journal of Geometric Analysis 19:584-600 2009.

Bennett, J. & Bez, N., "Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis," Journal of Functional Analysis 259:2520-2556 2010.

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

【国際学会発表(一般講演)】

Bez, N., “Recent progress on the Brascamp-Lieb inequality and applications”, Departmental Colloquium, Seoul National University, South Korea, May 2014.

Bez, N., “The sharp trace theorem on the sphere”, Seoul National University, South Korea, May 2014.

Bez, N., “Optimal versions of the trace theorem on the sphere”, Korea Institute for Advanced Study, South Korea, May 2014.

Bez, N., “Some applications of the Funk-Hecke theorem”, 2nd East Asian Conference in Harmonic Analysis and Applications, Mudanjiang Normal University, China, July 2014.

Bez, N., “Some applications of the Funk-Hecke theorem”, International Congress of Mathematicians 2014 Satellite Conference on Harmonic Analysis, Gwangju, South Korea, August 2014.

Bez, N., “Flow monotonicity and Strichartz inequalities”, 39th Sapporo Symposium on PDEs and International Congress of Mathematicians 2014 Satellite Conference, Sapporo, Japan, August 2014.

【国際学会発表(招待講演)】

Bez, N., “The Mizohata-Takeuchi conjecture, smoothing estimates and trace theorems”, Analysis Seminar, The Chinese University of Hong Kong, Hong Kong, July 2015.

Bez, N., “Consequences of the Funk-Hecke theorem to smoothing and trace estimates”, 10th ISAAC Congress, Harmonic Analysis and PDE Session, The University of Macau, Macau, August 2015.

【国内学会発表(一般講演)】

Bez, N., “The sharp trace theorem for the sphere”, Waseda University, April 2014.

Bez, N., “On the multilinear restriction problem”, University of Tokyo, June 2014.

Bez, N., “Multilinear Radon-like transforms”, Kyoto University, December 2014.

Bez, N., “Multilinear restriction estimates and Radon-like transforms”, Saitama University satellite campus, December 2014.

Bez, N., “On the multilinear restriction conjecture”, Harmonic Analysis seminar, a series of three special lectures, hosted by Yamagata University, December 2014.

【国内学会発表(招待講演)】

Bez, N., “Recent developments in the heat-flow semigroup interpolation method”, an invited mini-course of three lectures at the International Workshop on Fundamental Problems in Mathematical and Theoretical Physics, Waseda University, October 2015.

Bez, N., “Sharp bilinear estimates for the wave equation”, Workshop on Hyperbolic and Dispersive PDEs in Sendai, Tohoku University, December 2015.

Bez, N., “Applications of the Funk-Hecke theorem to smoothing and trace estimates”, Harmonic Analysis and its Applications at Matsumoto 2016, Shinshu University, February 2016.

【シンポジウム等の企画・開催】

2016年11月28日-12月1日:国際研究集会「INTERACTIONS BETWEEN HARMONIC AND GEOMETRIC ANALYSIS」

2016年3月2日-4日:埼玉大学研究機構テニュアトラック第6回シンポジウム

「Harmonic Analysis, Geometric Analysis and PDE Workshop」

2014年10月30日: 埼玉大学研究機構テニュアトラック第2回シンポジウム「Modern Harmonic Analysis and Applications」

研究成果カテゴリ: 研究論文。研究者名: ニール・ベズ
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