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On a weighted harmonic Green function and a theorem of Littlewood

Olofsson, Anders LU (2020) In Bulletin des Sciences Mathematiques 158.
Abstract

We continue our study of weighted harmonic functions. The emphasis is put on properties of conformal invariance and associated Green functions. A classical result of Littlewood about pointwise limits almost everywhere of Green potentials of measures in the disc is, as far as the unit disc is concerned, generalized to the full scale of Green potentials considered.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Conformal invariance, Green function, Standard weight function, Weighted Laplace differential operator
in
Bulletin des Sciences Mathematiques
volume
158
article number
102809
publisher
Gauthier-Villars
external identifiers
  • scopus:85075011690
ISSN
0007-4497
DOI
10.1016/j.bulsci.2019.102809
language
English
LU publication?
yes
id
73cc9a55-d895-4378-8c02-a1a8e4cff87f
date added to LUP
2019-11-28 07:49:11
date last changed
2022-04-18 19:01:45
@article{73cc9a55-d895-4378-8c02-a1a8e4cff87f,
  abstract     = {{<p>We continue our study of weighted harmonic functions. The emphasis is put on properties of conformal invariance and associated Green functions. A classical result of Littlewood about pointwise limits almost everywhere of Green potentials of measures in the disc is, as far as the unit disc is concerned, generalized to the full scale of Green potentials considered.</p>}},
  author       = {{Olofsson, Anders}},
  issn         = {{0007-4497}},
  keywords     = {{Conformal invariance; Green function; Standard weight function; Weighted Laplace differential operator}},
  language     = {{eng}},
  publisher    = {{Gauthier-Villars}},
  series       = {{Bulletin des Sciences Mathematiques}},
  title        = {{On a weighted harmonic Green function and a theorem of Littlewood}},
  url          = {{http://dx.doi.org/10.1016/j.bulsci.2019.102809}},
  doi          = {{10.1016/j.bulsci.2019.102809}},
  volume       = {{158}},
  year         = {{2020}},
}