A note on smoothing properties of the Bergman projection
  Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on a class of pseudoconvex domains. We show that a further smoothing property holds on a family of Reinhardt domains; namely, the Bergman projection of conjugate holomorphic functions is holomorphic past the boundary. 
Sivaguru Ravisankar and Yunus E. Zeytuncu
math.CV