Lectures log

week 3: motivation, brief review of Lebesgue spaces, weak Lebesgue spaces, layer cake represenation, Minkowski integral inequality, rearragnement of sets and functions (section 2.2, section 6.0 in Simon: Harmonic analysis)

week 4: Lorentz spaces, Hunt-Marcinkiewicz interpolation theorem, Young's inequality (section 6.0-6.1 in Simon: Harmonic analysis)

week5: weak Young inequality (Theorem 6.2.3 in Simon, Volume 3)

remaining material: Richard S. Laugesen: Harmonic Analysis and Lecture Notes, section 7. Barry Simon (Vol. 4): Section 6.9 on Fourier analysis on locally compact abelian groups.