Speaker:
Alexander Sobolev
Institution:
University of Birmingham, UK
Time:
Thursday, April 6, 2006 - 2:00pm
Location:
MSTB 254
In 1986 A. Ancona showed, using the Koebe one-quarter Theorem, that for a simply-connected planar domain the constant in the Hardy inequality with the distance to the boundary is greater than or equal to 1/16. We consider classes of domains for which there is a stronger version of the Koebe Theorem. This implies better estimates for the constant appearing in the Hardy inequality.