On a weighted harmonic Green function and a theorem of Littlewood

Research output: Contribution to journalArticle

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.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Conformal invariance, Green function, Standard weight function, Weighted Laplace differential operator
Original languageEnglish
Article number102809
JournalBulletin des Sciences Mathematiques
Volume158
Publication statusPublished - 2020
Publication categoryResearch
Peer-reviewedYes