Advanced

A calculation of limits of L1 means for some weighted Poisson kernels in the unit disc

Mattias, Ashu (2011) In Master's Theses in Mathematical Sciences MATM01 20111
Mathematics (Faculty of Sciences)
Abstract
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.
Please use this url to cite or link to this publication:
author
Mattias, Ashu
supervisor
organization
course
MATM01 20111
year
type
H2 - Master's Degree (Two Years)
subject
publication/series
Master's Theses in Mathematical Sciences
report number
LUNFMA-3063-2011
ISSN
1404-6342
language
English
id
2493471
date added to LUP
2012-09-20 15:49:42
date last changed
2012-09-20 15:49:42
@misc{2493471,
  abstract     = {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.},
  author       = {Mattias, Ashu},
  issn         = {1404-6342},
  language     = {eng},
  note         = {Student Paper},
  series       = {Master's Theses in Mathematical Sciences},
  title        = {A calculation of limits of L1 means for some weighted Poisson kernels in the unit disc},
  year         = {2011},
}