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Title: Riesz potentials and Sobolev embedding theorems
Speaker: Rahul Garg (Technion, Haifa, Israel)
Date: 23 September 2014
Time: 4 pm
Venue: LH-1, Mathematics Department

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: 22 Jun 2024