Abstract. We prove a general version of [Boas84, Theorem 4.1] to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Prékopa--Leindler inequality.

DOI: 10.14232/actasm-015-582-0

AMS Subject Classification (1991): 32A25, 32A36

Keyword(s): weighted Bergman projection, Prékopa--Leindler inequality, Reinhardt domain

Received November 22, 2015, and in revised form January 5, 2016. (Registered under 82/2015.)