Professor Cruz-Uribe’s research is in harmonic analysis. He is particularly interested in the study of the classical operators of harmonic analysis—maximal operators, the Hilbert transform and other singular integrals, Riesz potentials/fractional integrals—on weighted and variable exponent Lebesgue spaces.
Finally, he is interested in the applications of harmonic analysis to the study of partial differential equations, particularly degenerate elliptic equations.
Subject area: Analysis.
Current Projects: Harmonic analysis, PDE
