U utorak 24.6.2025. od 12h u dvorani B3-17 PMF-a
Shobu Shiraki
Sveučilište u Zagrebu, Prirodoslovno-matematički fakultet
održat će predavanje
Beckner’s Sharp Inequalities Revisited on Binary Cubes
Predavanje je organizirano u sklopu redovitog kolokvija Znanstvenog razreda SMD-a.
Pozivamo sve zainteresirane da prisustvuju.
Abstract: 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).