Revistes Catalanes amb Accés Obert (RACO)

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

A. Perotti

Resum


In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in $\mathbf {C}^n$. This condition, related to the normal component on $\partial D$ of the $\overline {\partial }$-operator, permits us to study the Neumann problem for pluriharmonic functions and the $\overline {\partial }$-problem for $(0,1)$-forms on $D$ with solutions having assigned real part on the boundary.

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