##### 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.

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Last updated: 06 Mar 2020