Speaker: Ritva Hurri-Syrjanen
Title: Inequalities of Exponential Type.
Affiliation: University of Kentucky and University of Helsinki.
Date: Friday, March 2, 2001.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. We consider Sobolev inequalities of exponential type, a special case is the Trudinger's inequality. The class of functions considered is based on L^n(log L)^an with a<1-1/n, n being the dimension of the underlying space. We give sufficient conditions for domains to satisfy inequalities of exponential type. The limiting case a=1-1/n gives rise to an inequality of double exponential type which is shown to be valid in a large class of irregular domains. This inequality is new even in smooth domains.