Search for dissertations about: "plurisubharmonic extension"

Found 4 swedish dissertations containing the words plurisubharmonic extension.

  2. 1. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables

    Author : Håkan Persson; Kaj Nyström; Maciej Klimek; Evgeny Poletsky; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; uniformly parabolic equations; non-linear parabolic equations; linear growth; Lipschitz domain; NTA-domain; Riesz measure; boundary behavior; boundary Harnack; degenerate parabolic; parabolic measure; plurisubharmonic functions; continuous boundary; hyperconvexity; bounded exhaustion function; Hölder for all exponents; log-lipschitz; boundary regularity; approximation; Mergelyan type approximation; plurisubharmonic functions on compacts; Jensen measures; monotone convergence; plurisubharmonic extension; plurisubharmonic boundary values; Mathematics; Matematik;

    Abstract : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. READ MORE

  4. 2. 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

  5. 3. Holomorphic embeddings and applications

    Author : Sam Lodin; Frank Kutzschebauch; Jörgen Boo; Frank Wikström; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Anders´en-Lempert-theory; holomorphic embeddings; Eisenman hyperbolicity; holomorphic group actions; plurisubharmonic extension; analytic polyhedron; MATHEMATICS; MATEMATIK;

    Abstract : In the first part of this thesis we consider the question of the number of equivalenceclasses of holomorphic embeddings of Ck into Cn. We show the existence of holomorphicfamilies of proper holomorphic embeddings of Ck into Cn (0 < k < n−1),such that members of the family are pairwise nonequivalent in a suitable sense. READ MORE

  6. 4. Pluripolar Sets and Pluripolar Hulls

    Author : Tomas Edlund; Burglind Juhl-Jöricke; Norm Levenberg; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; plurisubharmonic functions; pluripolar set; complete pluripolar set; pluripolar hull; fine topology; finely analytic function; fine analytic continuation; Matematisk analys; Mathematical analysis; Analys;

    Abstract : For many questions of complex analysis of several variables classical potential theory does not provide suitable tools and is replaced by pluripotential theory. The latter got many important applications within complex analysis and related fields. Pluripolar sets play a special role in pluripotential theory. READ MORE