Harmonic Analysis and Partial Differential Equations

Differential subordination of harmonic functions and martingales.- Square functions, Cauchy integrals, analytic capacity, and harmonic measure.- Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation.- Problems in harmonic analysis related to curves and surfaces with infinitely flat points.- Some topics in symmetrization.- On the size the maximal function and the hilbert transform.- ?-Calderón-zygmund operators.- On the equation and Szegö projection on CR manifolds.- Singular integrals on surfaces.- The T1 theorem for Triebel-Lizorkin spaces.- Les ondelettes.- On functions with derivatives in H1.- Spectral synthesis in spaces of functions with derivatives in H 1.- An averaging operator on a tree.