2026年6月12日（金）17:00--18:30
開催教室：本館2階，H213セミナー室
講演者：白木尚武 （University of Zagreb）
講演題目：Beckner's sharp inequalities revisited on binary cubes
講演概要：The Hausdorff–Young inequality and Young’s convolution inequality are fundamental tools in harmonic analysis. The landmark paper “Inequalities in Fourier Analysis” by William Beckner (Ann. of Math., 1975) established the exact values of the sharp constants appearing in these inequalities. Recently, these inequalities have received renewed attention in the setting of binary cubes, driven by applications in additive combinatorics through works by Kane–Tao, de Dios Pont–Greenfeld–Ivanisvili–Madrid, and others. In this discrete setting, the sharp constant is known to be 1 and is no longer the central issue. Instead, the focus shifts to the range of exponents for which the Hausdorff–Young inequality and Young’s convolution inequality hold — a range that is enlarged compared to the classical case. In this talk, we aim to fully characterize this range. This is joint work with Tonći Crmarić (University of Split) and Vjekoslav Kovač (University of Zagreb).
利根川吉廣 (東京科学大学 理学院) tonegawa(at)math.titech.ac.jp
隠居良行 (東京科学大学 理学院) kagei(at)math.titech.ac.jp
三浦英之 (東京科学大学 理学院) hideyuki(at)math.titech.ac.jp
小野寺有紹 (東京科学大学 理学院) onodera(at)math.titech.ac.jp
辻寛 (東京科学大学 理学院) tsujihiroshi(at)math.sci.isct.ac.jp
西畑伸也 (東京科学大学 情報理工学院) shinya(at)is.titech.ac.jp
高橋仁 (東京科学大学 情報理工学院) takahashi(at)c.titech.ac.jp
後藤田剛 (東京科学大学 情報理工学院) gotoda(at)c.titech.ac.jp
黄裕淙 (東京科学大学 情報理工学院) huang.y.au(at)m.titech.ac.jp