Sökning: "Subextension"

Hittade 3 avhandlingar innehållade ordet Subextension.

  1. 1. Approximation and Subextension of Negative Plurisubharmonic Functions

    Författare :Lisa Hed; Urban Cegrell; Frank Wikström; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; Approximation; Plurisubharmonic function; Subextension; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we study approximation of negative plurisubharmonic functions by functions defined on strictly larger domains. We show that, under certain conditions, every function u that is defined on a bounded hyperconvex domain Ω in Cn and has essentially boundary values zero and bounded Monge-Ampère mass, can be approximated by an increasing sequence of functions {uj} that are defined on strictly larger domains, has boundary values zero and bounded Monge-Ampère mass. LÄS MER

  3. 2. The plurisubharmonic Mergelyan property

    Författare :Lisa Hed; Urban Cegrell; Anders Fällström; Per Åhag; Jan Wiegerinck; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; approximation; plurisubharmonic function; subextension; Mergelyan property; plurisubharmonic function on compact sets; Jensen measures; Mathematics; matematik;

    Sammanfattning : In this thesis, we study two different kinds of approximation of plurisubharmonic functions. The first one is a Mergelyan type approximation for plurisubharmonic functions. LÄS MER

  4. 3. Dirichlet's problem in Pluripotential Theory

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

    Sammanfattning : 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. LÄS MER