Sul problema pluriarmonico in un campo sferico di $\mathbf{C}^{n}$ per $n \ge 3$

Sneider, Maria Adelaide

Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 74 (1983) no. 6, pp. 351-356

Résumé

Let $\Sigma$ be the boundary of the unit ball $\Omega$ of $\mathbf{C}^{n}$. A set of second order linear partial differential operators, tangential to $\Sigma$, is explicitly given in such a way that, for $n \ge 3$, the corresponding PDE caractherize the trace of the solution of the pluriharmonic problem (either “in the large” or “local”), relative to $\Omega$.