Estimates for solutions of the $\partial$-equation and application to the characterization of the zero varieties of the functions of the nevanlinna class for lineally convex domains of finite type

Philippe Charpentier, Yves Dupain, Modi Mounkaila

In the late ten years, the resolution of the equation $\bar{\partial }u=f$ with sharp estimates has been intensively studied for convex domains of finite type by many authors. In thi…