Rate My Professor Tuomas Hytönen

Hytönen’s research specializes in harmonic analysis, focusing on weighted inequalities for singular integral operators, Calderón-Zygmund operators, non-homogeneous analysis on metric spaces, and commutators. A landmark achievement is his proof of the A2 conjecture in 2010, with results in publications such as “The sharp weighted bound for general Calderón–Zygmund operators” (Annals of Mathematics, 2012) and “Sharp weighted bounds involving A∞” (2013). He co-authored influential monographs “Analysis in Banach Spaces, Volume I” (2016) and “Volume II: Probabilistic Methods and Operator Theory” (2018). Recent works include “Matrix-weighted Besov-type and Triebel–Lizorkin-type spaces” series (2025-2026). His contributions impact areas like quantum mechanics uncertainty principles and PDE solutions. He leads the COCOA project on commutators and compactness (2026-2031) and the FiRST Centre of Excellence in Randomness and Structures (2024-2026), has received the ISAAC Award (2017) and Väisälä Award (2013), and serves on Aalto’s Tenure Track Committee.