Some Problems Related with Holomorphic Functions on Tube Domains over Light Cones
Aline BonamiUniversité d'Orléans, France
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In this survey, we consider two kinds of problems on tube domains over light cones. The first one is related with Poisson-Szegő integrals F. When F is a bounded real function and satisfies an appropriate smoothness up to the boundary, then F is necessarily the real part of a holomorphic function. The second one is the Lp boundedness of the Bergman projection, for which known positive and negative results leave a gap between them. This gives an illustration of activities within HARP.