Projections onto Lp-Bergman spaces of Reinhardt domains.

For 1<p<∞, we emulate the Bergman projection on Reinhardt domains by using a Banach-space basis of L ^p-Bergman space. The construction gives an integral kernel generalizing the (L ²) Bergman kernel. The operator defined by the kernel is shown to be an absolutely bounded projection on the L ^p-Bergman space on a class of domains where the L ^p-boundedness of the Bergman projection fails for certain p≠2. As an application, we identify the duals of these L ^p-Bergman spaces with weighted Bergman spaces.