Differential operators for a scale of Poisson type kernels in the unit disc
(2014) In Journal d'Analyse Mathematique 123. p.227-249- Abstract
- In this paper, we introduce a scale of differential operators which is shown to correspond canonically to a certain scale of solution kernels generalizing the classical Poisson kernel for the unit disc. The scale of kernels studied is very natural and appears in many places in mathematical analysis, such as in the theory of integral representations of biharmonic functions in the unit disc.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4667889
- author
- Olofsson, Anders LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal d'Analyse Mathematique
- volume
- 123
- pages
- 227 - 249
- publisher
- Magnes Press
- external identifiers
-
- wos:000339826500008
- scopus:84904858552
- ISSN
- 1565-8538
- DOI
- 10.1007/s11854-014-0019-4
- language
- English
- LU publication?
- yes
- id
- b6a7f049-a2ce-46ab-9062-44589ba302c1 (old id 4667889)
- date added to LUP
- 2016-04-01 10:48:59
- date last changed
- 2022-03-04 23:08:06
@article{b6a7f049-a2ce-46ab-9062-44589ba302c1,
abstract = {{In this paper, we introduce a scale of differential operators which is shown to correspond canonically to a certain scale of solution kernels generalizing the classical Poisson kernel for the unit disc. The scale of kernels studied is very natural and appears in many places in mathematical analysis, such as in the theory of integral representations of biharmonic functions in the unit disc.}},
author = {{Olofsson, Anders}},
issn = {{1565-8538}},
language = {{eng}},
pages = {{227--249}},
publisher = {{Magnes Press}},
series = {{Journal d'Analyse Mathematique}},
title = {{Differential operators for a scale of Poisson type kernels in the unit disc}},
url = {{http://dx.doi.org/10.1007/s11854-014-0019-4}},
doi = {{10.1007/s11854-014-0019-4}},
volume = {{123}},
year = {{2014}},
}