Plan of the lectures
The section numbers refer to the book of Lieb-Loss: Analysis.
I can make photocopies
of the sections you are assigned to.
The dates are only preliminary, since there are more students than
slots, we will not follow the standard one student/one seminar rule.
The schedule may be shifted forward, but you should be ready to deliver your
talk on the day indicated below (even if sometimes your talk will be
delayed for next time)
Apr 22 Introduction (Laszlo Erdos)
Apr 29 Convergence types, Weak convergence,
May 6 Rearrangement inequalities (3.1-3.6) [Milde/Uebele]
May 20 Riesz rearrangement (3.7) [Hellmann/Muehlmann]
May 27 Hardy-Littlewood-Sobolev inequality (4.3) [Svoboda]
Jun 10 Distributions (6.1--6.9) [Gottwald Sebastian]
Jun 17 Distributions (6.10-6.15) [Gaal]
Jun 24 Solution to Poisson's equation (6.19-6.21) [Bukov]
Jul 1 Sobolev Spaces (7.1-7.8) [Pechmann]
Sobolev Spaces with Fourier's
method (7.9-7.12, 7.14-7.16) [Tomasi]
Jul 15 Sobolev inequalities (8.1--8.5) [Gebert/Schmidbauer]
Jul 22 Sobolev inequalities (8.1--8.5) and Reserve