Radial limits of superharmonic functions in the plane
Radial variation of functions in Besov spaces.
Rectifiability, analytic capacity, and singular integrals.
Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.
Removable sets for Lipschitz harmonic functions in the plane.
The main motivation for this work comes from the century-old Painlevé problem: try to characterize geometrically removable sets for bounded analytic functions in C.
Retour sur la théorie de Littlewood-Paley