February Fourier Talks 2009

Robert Fefferman


Some Generalizations of Classical Problems in Harmonic Analysis and Associated Open Problems


This will be a consideration of generalizations of some of the main themes from classical Fourier Analysis:
  • The Hardy-Littlewood Maximal Function
  • The Connection Between the Maximal Operator, Calderon-Zygmund Singular Integrals, and Classical Multiplier Operators
  • Classical Marcinkiewicz Multipliers and the Double Hilbert Transform
  • The Classical Lp Dirichlet Problem for the Unit Ball in Rn
We shall also consider some open problems associated with these extensions and generalizations.