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, Holder/Young/Jensen inequalities. [Laszlo Erdos]

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]

Jul 8

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 [Gebert/Schmiedbauer]