Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

S. Mongodi

Some applications of metric currents to complex analysis

created by mongodi on 26 Jun 2013
modified by paolini on 19 Dec 2014

[BibTeX]

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.

Tags: GeMeThNES


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1