Harmonic Analysis, Partial Differential Equations.

My research interests are mainly in harmonic analysis, and especially in applications of the methods, including Calderon-Zygmund theory and weighted norm inequalities, to the solution of problems in partial differential equations. For example, weighted inequalities for the classical maximal function of Hardy and Littlewood play a key role in characterizing the regularity of solutions to the oblique derivative problem, and weighted inequalities for potentials give sharp estimates for the eigenvalues of Schrîdinger operators with general potential.