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In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on [delta]D of the [delta]-operator, permits us to study the Neumann problem for pluriharmonic functions and the [delta]-problem for (0, 1)-forms on D with solutions having assigned real part on the boundary

Some applications of the trace condition for pluriharmonic functions in $\mathbf{C}^n$