We present some results concerning currents of integration on finite-dimensional analytic spaces in Hilbert spaces, using the setting of metric currents. In particular, we obtain the characterization of such currents as positive closed (k, k)-integer rectifiable currents and solve the boundary problem for holomorphic chains.

Positive metric currents and holomorphic chains in Hilbert spaces

MONGODI, SAMUELE
2015-01-01

Abstract

We present some results concerning currents of integration on finite-dimensional analytic spaces in Hilbert spaces, using the setting of metric currents. In particular, we obtain the characterization of such currents as positive closed (k, k)-integer rectifiable currents and solve the boundary problem for holomorphic chains.
2015
Complex Plateau problem; Holomorphic chains; Metric currents; Positive currents; Mathematics (all)
File in questo prodotto:
File Dimensione Formato  
Pos_Curr_rmi.pdf

accesso aperto

Descrizione: Articolo
: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 402.11 kB
Formato Adobe PDF
402.11 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1010751
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact