Continuity of the complex Monge-Ampere operator on compact Kahler manifolds

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Abstract

We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zeriahi on a complete description of the range of the complex Monge-Ampere operator in the class of w-plurisubharmonic functions with vanishing complex Monge-Ampere mass on all pluripolar sets. As a by-product we obtain a stability theorem of solutions of complex Monge-Ampere equations in some subclass.

Detaljer

Författare
Externa organisationer
  • Swedish University of Agricultural Sciences, Umeå
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)331-344
TidskriftMathematische Zeitschrift
Volym263
Utgåva nummer2
StatusPublished - 2009
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa