Some applications of metric currents to complex analysis

Mongodi Samuele

year: 2013
journal: Manuscripta Mathematica
abstract: The aim of this paper is to extend the theory of metric currents, developed by Ambrosio and Kirchheim, to complex spaces. We define the bidimension of a metric current on a complex space and we discuss the Cauchy–Riemann equation on a particular class of singular spaces. As another application, we investigate the Cauchy–Riemann equation on complex Banach spaces, by means of a homotopy formula.
documents: Mongodi Preprint

The paper is available on the cvgmt preprint server.