" 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.