Irina Mitrea
Temple University, Philadelphia, USA

The talk focuses on recent advances in the Radon-Carleman Problem in irregular domains. Specifically we compute and/or estimate the essential norm and/or Fredholm radius of singular integral operators of double layer type, associated with elliptic PDE, on function spaces naturally intervening in the formulation of boundary value problems for said PDE. This program is carried out in a very general geometric setting. This is joint work with Dorina Mitrea and Marius Mitrea.