Sökning: "weighted biharmonic Green function"

Hittade 2 avhandlingar innehållade orden weighted biharmonic Green function.

  1. 1. Weighted Bergman kernels and biharmonic Green functions

    Författare :Stefan Jakobsson; Matematikcentrum; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; singularity resolution of Bergman kernels; Hadamard s variational formula; weighted Bergman kernel; weighted biharmonic Green function; Friedrichs operator; Plant biochemistry; Växtbiokemi;

    Sammanfattning : The main theme of this thesis is the connection between weighted biharmonic Green functions and weighted Bergman kernels. In the first paper, which is a joint work with H. Hedenmalm and S. Shimorin, we prove that weighted biharmonic Green functions are positive for weights which satisfy a mean-value condition and whose logarithms are subharmonic. LÄS MER

  3. 2. Reproducing kernels and potential theory for the Bergman spaces

    Författare :Yolanda Perdomo Gallipoli; Matematikcentrum; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; weighted biharmonic Green function Gaussian curvature; Naturvetenskap; harmonic compensator; Natural science; weighted super-biharmonic function; potential metric; mean value property; weighted Bergman kernel;

    Sammanfattning : The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the beginning of the 50's by Paul Garabedian. In 1951 he showed that they are closely related to reproducing kernel functions of weighted Bergman spaces. LÄS MER