Weak convergence of currents

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Abstract

We give certain condictions to guarantee weak convergence $u_kT_k \rightarrow uT$, where $u_k$, $u$ are plurisubharmonic functions and $T_k$, $T$ are positive closed currents. As applications we obtain that convergence in capacity of plurisubharmonic functions $u_k$ implies weak convergence of the complex Monge-Amp\`ere measures $(dd^cu_k)^n$ if all of the plurisubharmonic functions $u_k$ are bounded below by one of some sorts of plurisubharmonic functions.

Detaljer

Författare
Externa organisationer
  • Umeå University
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)253-264
TidskriftMathematische Zeitschrift
Volym260
Utgåva nummer2
StatusPublished - 2008
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa