SUPERHARMONIC EXTENSION FROM THE BOUNDARY OF A DOMAIN

Authors
GARDINER SJ
Citation
Sj. Gardiner, SUPERHARMONIC EXTENSION FROM THE BOUNDARY OF A DOMAIN, Bulletin of the London Mathematical Society, 27, 1995, pp. 347-352
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
27
Year of publication
1995
Part
4
Pages
347 - 352
Database
ISI
SICI code
0024-6093(1995)27:<347:SEFTBO>2.0.ZU;2-K
Abstract
A sharp geometric condition is given for a bounded domain Omega to hav e the property that for each superharmonic function u on a neighbourho od of partial derivative Omega, there is a superharmonic function v on R(n) such that v = u on partial derivative Omega.