Title: Riesz potentials and Sobolev embedding theorems
Speaker: Dr Rahul Garg Technion, Haifa, Israel
Date: 23 September 2014
Time: 4:00 - 5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
I shall begin with the mapping properties of classical Riesz potentials acting on $L^p$-spaces. After reviewing the literature, I shall present our new ‘‘almost’’ Lipschitz continuity estimates for these and related potentials (including, for instance, the logarithmic potential) in the so-called supercritical exponent. Finally, I shall show how one could apply these estimates to deduce Sobolev embedding theorems. This is joint work with Daniel Spector and is available on arXiv:1404.1563.