Hardy Inequalities for Fractional Integrals on Convex Domains

Analysis Seminar
Wednesday, February 24, 2010 - 14:00
1 hour (actually 50 minutes)
Skiles 269
Georgia Tech
We prove a sharp Hardy inequality for fractional integrals for functions that are supported in a convex domain. The constant is the same as the one for the half-space and hence our result settles a recent conjecture of Bogdan and Dyda.  Further, the Hardy term in this inequality is stronger than the one in the classical case.  The result can be extended as well to more general domains