Published Paper
Inserted: 26 jun 2013
Last Updated: 19 dec 2014
Journal: Manuscripta Mathematica
Volume: 141
Number: 3-4
Pages: pp 363-390
Year: 2013
Doi: 10.1007/s00229-012-0575-9
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.
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