Sökning: "complex Monge-Ampère operator"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden complex Monge-Ampère operator.

  1. 1. The complex Monge-Ampére operator on bounded hyperconvex domains

    Författare :Per Åhag; Urban Cegrell; Norm Levenberg; Umeå universitet; []
    Nyckelord :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;

    Sammanfattning : .... LÄS MER

  3. 2. Regularity and boundary behavior of solutions to complex Monge–Ampère equations

    Författare :Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Complex Monge--Ampère operator; interior regularity; plurisubharmonic function; blow-up rate of solutions; bounded plurisubharmonic exhaustion function; globally Lipschitz; strongly pseudoconvex domain; hyperconvex domain; Bergman kernel; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER

  4. 3. Zeros and growth of entire functions of several variables, the complex Monge-Ampère operator and some related topics

    Författare :Yang Xing; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Sammanfattning : The classical Levin-Pfluger theory of entire functions of completely regular growth (CRG) of finite order p in one variable establishes a relation between the distribution of zeros of an entire function and its growth. The most important and interesting result in this theory is the fundamental principle for CRG functions. LÄS MER

  5. 4. 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

  7. 5. 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