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
• Títulos paralelos:
  • Aplicaciones de la condición de traza para funciones pluriarmónicas en Cn
• Enlaces
  • Texto completo
• 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.