Search for dissertations about: "strongly pseudoconvex domain"

Found 2 swedish dissertations containing the words strongly pseudoconvex domain.

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

    Author : Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

  2. 2. Some Applications of Integral Formulas in Several Complex Variables

    Author : Jörgen Boo; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. READ MORE