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.