Search for dissertations about: "Friedrichs operator"

Found 2 swedish dissertations containing the words Friedrichs operator.

2. 1. Weighted Bergman kernels and biharmonic Green functions

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

   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

4. 2. A new development of Nikol'skii - Lizorkin and Hardy type inequalities with applications

   Author : Aigerim Kalybay; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Abstract : This thesis consists of an introduction and five papers, which all deal with a new Sobolev type function space called the space with multiweighted derivatives. As basis for this space serves some differential operators containing weight functions. READ MORE