Mathematical Sciences

Lund University

  • Title: Poisson's integral formula for a strongly weighted Laplacian in the unit disc
  • Description: In this paper a counterpart of the classical Poisson integral formula is found for a strongly weighted Laplace differential operator in the unit disc. In the process the corresponding Dirichlet boundary value problem is solved for arbitrary continuous or $p$-th power integrable boundary data. The associated power series expansions are calculated and interpreted as homogeneous expansions. Questions of non-dilation invariance and representation as Poisson integrals are also discussed.
  • Start Date: June 14, 2010
  • Finished Date: June 14, 2010
  • Supervisor: Anders Olofsson
  • Student: Sasa Pejicic
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