**Department of Mathematics**

**"****On Mityagin's Problem****"**

By

__Abstract__** :** In 1961 B. S. Mityagin posed a
problem to give a characterization of the extension property of compact sets in
geometric terms.We show that there is no such characterization in terms
of Hausdorff measures or densities of measures or Hausdorff
contents. This is similar to the situation in Potential Theory where R.
Nevanlinna and H. Ursell proved that there is no general geometric
characterization of polarity of compact sets. Tea and cookies will be
served

Tea and cookies will be served before the
seminar.

**Date: ****Tuesday, September 24, 2013**

**Time: ****16.00**

**Place: ****Mathematics Seminar Room,
SA-141**