Mathematical Sciences

Lund University

  • Title: A calculation of limits of L1 means for some weighted Poisson kernels in the unit disc
  • Description: In this paper we calculate the limit of the $L^1$-means of certain weighted Poisson kernels in the unit disc and show that this limit is equal to $1$. Our result is in sharp contrast to a recent result by George F\"ulep who has shown that some related limit superiors are strictly greater than $1$. Limits of this type are of interest from the point of view of approximation theory.
  • Start Date: May 5, 2011
  • Finished Date: May 5, 2011
  • Supervisor: Anders Olofsson
  • Student: Ashu Mattias