Around $L^1$ (un)boundedness of Bergman and Szegö projections

22.04.2021 10:00 - 11:30

Gian Maria Dall'Ara (Scuola Normale Superiore, Pisa)

Bergman and Szegö projections are classical and well-studied operators in harmonic and complex analysis. The work I am going to present originated (while I was in Vienna) as an attempt to find an "abstract motivation" for the typical $L^1$ unboundedness of these operators. I obtained the most satisfactory results for Szegö projections of real analytic CR manifolds of hypersurface type, for which $L^1$ boundedness actually occurs for a class of exceptional CR structures, that I will discuss.

Bernhard Lamel