Some applications of the trace condition for pluriharmonic functions in Cn

Autores: Alessandro Perotti
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 44, Nº 2, 2000, págs. 449-456
Idioma: inglés
DOI: 10.5565/publmat_44200_05
Títulos paralelos:
- Aplicaciones de la condición de traza para funciones pluriarmónicas en Cn
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Resumen
- 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.