• Title of article

    Uniqueness in E(X,ω)

  • Author/Authors

    S?awomir Dinew، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    10
  • From page
    2113
  • To page
    2122
  • Abstract
    We prove uniqueness for the Dirichlet problem for the complex Monge–Ampère equation on compact Kähler manifolds in the case of probability measures vanishing on pluripolar sets. The proof uses the mass concentration technique due to Kołodziej coupled with inequalities for mixed Monge–Ampère measures and the comparison principle. © 2009 Elsevier Inc. All rights reserved.
  • Keywords
    Monge–Ampère operator , K?hler manifold , Cegrell classes
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2009
  • Journal title
    Journal of Functional Analysis
  • Record number

    839842