Fourrier transform;Interpolation of operators;Hardy-Littlewood maximal function;Hilbert transform;Singular integrals. Calderon-Zygmund theorem and generalizations;Differentiability properties in terms of function spaces;H1 and BMO spaces;Multipliers, Mihlin theorem and Littlewood-Paley theory.

References:
DUOANDIKOETXEA, J. – Fourier Analysis, Graduate Studies in Mathematics, 29, AMS 2001.
SCHLAG, W. – Harmonic analysis notes, http://www.its.caltech.edu/ schlag/index.html.
STEIN, E. M. – Singular integrals and differentiability properties of functions, Princeton University Press, 1970.
STEIN, E. M., WEISS, G. – Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971.
STEIN, E. M. – Harmonic Analysis, Princeton University Press, 1993.