**"**** On "Two-Sided Hölder" Green Functions**** "**

By

**Abstract:** A. Volberg posed a problem about the existence of a
compact set on the line with the corresponding "two-sided Hölder"
Green function. This means that, given a
point near the compact set, the Green function at this point has lower and upper estimates of Hölder
type with the same exponent for all
points. A solution of this problem is suggested by means of
so-called weakly equilibrium Cantor-type
sets.

It is possible also to present
Green functions that are "two-sided" with respect

to other moduli of continuity.

**Date: ****Tuesday, October 22, 2013**

**Time: ****16.00**

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

Tea and cookies will be served before the
seminar.