Mathematical Sciences

Lund University

  • Title: L1-estimates of some weighted Poisson kernels in the unit disc
  • Description: In this paper we provide new improved estimates for the $L^1$-integral means of Poisson kernels for certain standard weighted Laplacians in the unit disc. The study of these weighted Laplace differential operators goes back to Garabedian, and the associated Poisson kernels considered here have recently been calculated by Hyl\'en, Sundberg and Pejicic, respectively. Some experimental numerical bounds are also discussed in the paper.
  • Start Date: Jan. 20, 2011
  • Finished Date: Jan. 20, 2011
  • Supervisor: Anders Olofsson
  • Student: George Fülep
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