ANALYSIS
SEMINAR

"Completeness of Weighted Sobolev Spaces"

By

Omer Faruk Tekin

Abstract: This is a presentation of a senior project. We consider weighted Sobolev
spaces on open domains in the Euclidean space and the question of when they are
complete (Banach spaces). It turns out that this requirement is not fulfilled
for some weights and that an exceptional set has to be removed from the domain
in order to have completeness. We present some results on this issue as well as
an example of a weight for which the exceptional set is the whole domain.
Students are welcome.

Tea and cookies will be served before the
seminar.

Date:  Tuesday, December 20, 2011

Time: 15.40 – 16:30

Place: Mathematics Seminar Room,
SA-141