An Application of the Pr\'ekopa-Leindler Inequality and Sobolev   Regularity of Weighted Bergman Projections
  We prove a general version of \cite[Theorem 4.1]{Boas84} to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Pr\'ekopa-Leindler inequality. 
Yunus E. Zeytuncu
math.CV