Search for dissertations about: "weighted biharmonic Green function"
Found 2 swedish dissertations containing the words weighted biharmonic Green function.
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1. Weighted Bergman kernels and biharmonic Green functions
Abstract : 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. READ MORE
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2. Reproducing kernels and potential theory for the Bergman spaces
Abstract : 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. READ MORE