On subextension of pluriharmonic and plurisubharmonic functions

• Autores: Jonas Wiklund
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 44, Nº 1, 2006, págs. 182-190
• Idioma: inglés
• DOI: 10.1007/s11512-006-0014-9
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• Resumen

  • The problem of subextension of plurisubharmonic functions is considered. Recently it was shown by Cegrell�Zeriahi, that subextension is always possible for negative plurisubharmonic functions in the energy class F. In this paper we construct, for every hyperconvex domain Ù, a negative plurisubharmonic function in the class E which cannot be subextended. Given any pseudoconvex domain we construct a pluriharmonic function that cannot be subextended.