Federico Santagati

Federico Santagati is a Postdoctoral Fellow at the School of Mathematics & Statistics, University of New South Wales. His research focuses on harmonic analysis in nondoubling contexts, particularly investigating operators such as the Riesz transform, Hardy-Littlewood maximal operators, and spectral multipliers of Laplacians. He also explores Hardy spaces and heat kernel estimates, analyzing discrepancies between classical results and those in nondoubling settings.

• University: University of New South Wales
• School: School of Mathematics & Statistics
• Academic Rank: Research Fellow

Research Interests:

• Harmonic analysis in nondoubling measure spaces
• Operator theory on homogeneous and nonhomogeneous trees
• Poincaré and Hardy inequalities
• Applications to partial differential equations and functional analysis

Publications include groundbreaking work on maximal operators, Carleson measures, and Hardy spaces on locally finite trees, with recent contributions in journals like Revista Matematica Complutense and Journal of Geometric Analysis.

Contact: f.santagati@unsw.edu.au