Solution of the $\bar{\partial}$-Neumann problem on a bi-disc

In this paper we study the behavior of the solution to the $\bar{\partial}$-Neumann problem for $(0,1)$-forms on a bi-disc in $\mathbb{C}^2$. We show singularities which arise at the distinguished boundary are of logarithmic and arctangent type.

Full Text (PDF format)

Published 1 January 2003