Search for dissertations about: "plurisubharmonic currents"

Found 4 swedish dissertations containing the words plurisubharmonic currents.

  2. 1. On the Extension and Wedge Product of Positive Currents

    Author : Ahmad Khalid Al Abdulaali; Jan-Erik Björk; Hassine El Mir; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Closed positive currents; plurisubharmonic currents; plurisubharmonic functions; pluripolar sets; k-convex functions; wedge product of currents; Mathematics; matematik;

    Abstract : This dissertation is concerned with extensions and wedge products of positive currents. Our study can be considered as a generalization for classical works done earlier in this field. Paper I deals with the extension of positive currents across different types of sets. READ MORE

  4. 2. Convexity, Currents, and Lelong numbers

    Author : Aron Lagerberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; complex analysis; convex analysis; currents; Lelong numbers; tropical geometry; L^2-estaimtes; Legendre transform; intersection theory; real Monge-Ampere operators; plurisubharmonic functions; integrability index; L^2-estaimtes;

    Abstract : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. READ MORE

  5. 3. Dirichlet's problem in Pluripotential Theory

    Author : Hoàng Hiệp Phạm; Urban Cegrell; Slawomir Kolodziej; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; pluripotential theory; plurisubharmonic function; subextension; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we focus on Dirichlet's problem for the complex Monge-Ampère equation. That is, for a given non-negative Radon measure µ we are interested in the conditions under which there exists a plurisubharmonic function u such that (ddcu)n=µ, where (ddc)n is the complex Monge-Ampère operator. READ MORE

  6. 4. The complex Monge-Ampére operator on bounded hyperconvex domains

    Author : Per Åhag; Urban Cegrell; Norm Levenberg; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; hyperconvex domain; Perron-Bremermann envelope; pluripotential theory; plurisubharmonic function; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Abstract : .... READ MORE