Convergence in capacity

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We study the relationship between convergence in capacities of plurisubharmonic functions and the convergence of the corresponding complex Monge-Ampère measures. We find one type of convergence of complex Monge-Ampère measures which is essentially equivalent to convergence in the capacity C n of functions. We also prove that weak convergence of complex Monge-Ampère measures is equivalent to convergence in the capacity C n-1 of functions in some case. As applications we give certain stability theorems of solutions of Monge-Ampère equations.

Detaljer

Författare
Externa organisationer
  • External Organization - Unknown
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)1839-1861
TidskriftAnnales de l'Institut Fourier
Volym58
Utgåva nummer5
StatusPublished - 2008
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa