Prescribing the Preschwarzian in several complex variables

Hernández Rodrigo

We solve the several complex variables preSchwarzian operator equation $[Df(z){]}^{-1}{D}^{2}f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued local…