" On  "Two-Sided Hölder" Green Functions "





(Bilkent  University)





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.